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40888074240 = 2153551379
BaseRepresentation
bin100110000101000111…
…101000000000000000
310220112120010101100000
4212011013220000000
51132214321333430
630441141200000
72645146616346
oct460507500000
9126476111300
1040888074240
11163822853a2
127b11400000
133b18061990
141d9c501996
1510e4959e60
hex9851e8000

40888074240 has 768 divisors, whose sum is σ = 160303852800. Its totient is φ = 9937354752.

The previous prime is 40888074209. The next prime is 40888074287. The reversal of 40888074240 is 4247088804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517570521 + ... + 517570599.

It is an arithmetic number, because the mean of its divisors is an integer number (208728975).

Almost surely, 240888074240 is an apocalyptic number.

40888074240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40888074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151926400).

40888074240 is an abundant number, since it is smaller than the sum of its proper divisors (119415778560).

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

40888074240 is an frugal number, since it uses more digits than its factorization.

40888074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 40888074240 in words is "forty billion, eight hundred eighty-eight million, seventy-four thousand, two hundred forty".