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40042405440 = 2632513903613
BaseRepresentation
bin100101010010101101…
…101001111001000000
310211100121211221211100
4211102231221321000
51124001323433230
630221211414400
72615200554552
oct452255517100
9124317757740
1040042405440
1115a88991964
127916154400
133a11aabc3b
141d1c0894d2
1510955b1660
hex952b69e40

40042405440 has 84 divisors (see below), whose sum is σ = 137729200284. Its totient is φ = 10677974016.

The previous prime is 40042405423. The next prime is 40042405453. The reversal of 40042405440 is 4450424004.

It is a happy number.

40042405440 is a `hidden beast` number, since 40 + 0 + 42 + 40 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29471275584 + 10571129856 = 171672^2 + 102816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6948927 + ... + 6954686.

Almost surely, 240042405440 is an apocalyptic number.

40042405440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042405440 is an abundant number, since it is smaller than the sum of its proper divisors (97686794844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40042405440 is a wasteful number, since it uses less digits than its factorization.

40042405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13903636 (or 13903623 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 40042405440 its reverse (4450424004), we get a palindrome (44492829444).

The spelling of 40042405440 in words is "forty billion, forty-two million, four hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 13903613 27807226 41710839 55614452 69518065 83421678 111228904 125132517 139036130 166843356 208554195 222457808 250265034 278072260 333686712 417108390 444915616 500530068 556144520 625662585 667373424 834216780 889831232 1001060136 1112289040 1251325170 1334746848 1668433560 2002120272 2224578080 2502650340 2669493696 3336867120 4004240544 4449156160 5005300680 6673734240 8008481088 10010601360 13347468480 20021202720 40042405440