40678435592928 has 192 divisors, whose sum is σ = 136662463365120. Its totient is φ = 11530894910976.

The previous prime is 40678435592911. The next prime is 40678435592933. The reversal of 40678435592928 is 82929553487604.

40678435592928 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 8 + 4 + 3 + 5 + 592 + 9 + 28 = 666.

It is a super-2 number, since 2×40678435592928² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25711951 + ... + 27248142.

It is an arithmetic number, because the mean of its divisors is an integer number (711783663360).

Almost surely, 2^{40678435592928} is an apocalyptic number.

40678435592928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40678435592928 is an abundant number, since it is smaller than the sum of its proper divisors (95984027772192).

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

40678435592928 is a wasteful number, since it uses less digits than its factorization.

40678435592928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52960246 (or 52960232 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 40678435592928 in words is "forty trillion, six hundred seventy-eight billion, four hundred thirty-five million, five hundred ninety-two thousand, nine hundred twenty-eight".