40725842976000 has 864 divisors, whose sum is σ = 180361299326208. Its totient is φ = 8592699801600.

The previous prime is 40725842975999. The next prime is 40725842976017. The reversal of 40725842976000 is 67924852704.

40725842976000 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 5 + 8 + 4 + 29 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×40725842976000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25431027 + ... + 26984973.

Almost surely, 2^{40725842976000} is an apocalyptic number.

40725842976000 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 40725842976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90180649663104).

40725842976000 is an abundant number, since it is smaller than the sum of its proper divisors (139635456350208).

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

40725842976000 is a wasteful number, since it uses less digits than its factorization.

40725842976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554004 (or 1553977 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 40725842976000 in words is "forty trillion, seven hundred twenty-five billion, eight hundred forty-two million, nine hundred seventy-six thousand".