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40405122540 = 2233574824301
BaseRepresentation
bin100101101000010101…
…010011110111101100
310212021220100220011000
4211220111103313230
51130222202410130
630321210000300
72630163606036
oct455025236754
9125256326130
1040405122540
1116154702662
1279b7716090
133a6bc98643
141d54306c56
1510b735d260
hex968553dec

40405122540 has 48 divisors (see below), whose sum is σ = 125704827360. Its totient is φ = 10774699200.

The previous prime is 40405122533. The next prime is 40405122547. The reversal of 40405122540 is 4522150404.

40405122540 is a `hidden beast` number, since 4 + 0 + 405 + 1 + 2 + 254 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40405122533) and next prime (40405122547).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40405122547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37411611 + ... + 37412690.

It is an arithmetic number, because the mean of its divisors is an integer number (2618850570).

Almost surely, 240405122540 is an apocalyptic number.

It is an amenable number.

40405122540 is an abundant number, since it is smaller than the sum of its proper divisors (85299704820).

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

40405122540 is a wasteful number, since it uses less digits than its factorization.

40405122540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74824319 (or 74824311 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40405122540 its reverse (4522150404), we get a palindrome (44927272944).

The spelling of 40405122540 in words is "forty billion, four hundred five million, one hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 74824301 149648602 224472903 299297204 374121505 448945806 673418709 748243010 897891612 1122364515 1346837418 1496486020 2020256127 2244729030 2693674836 3367093545 4040512254 4489458060 6734187090 8081024508 10101280635 13468374180 20202561270 40405122540