40876422935040 has 1440 divisors, whose sum is σ = 180864208324800. Its totient is φ = 8436414873600.

The previous prime is 40876422935017. The next prime is 40876422935069. The reversal of 40876422935040 is 4053922467804.

It is a happy number.

40876422935040 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 6 + 42 + 2 + 93 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1850354395 + ... + 1850376485.

It is an arithmetic number, because the mean of its divisors is an integer number (125600144670).

Almost surely, 2^{40876422935040} is an apocalyptic number.

40876422935040 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 40876422935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90432104162400).

40876422935040 is an abundant number, since it is smaller than the sum of its proper divisors (139987785389760).

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

40876422935040 is a wasteful number, since it uses less digits than its factorization.

40876422935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22294 (or 22268 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 40876422935040 in words is "forty trillion, eight hundred seventy-six billion, four hundred twenty-two million, nine hundred thirty-five thousand, forty".