40078914970752 has 1024 divisors, whose sum is σ = 145033098240000. Its totient is φ = 10775072563200.

The previous prime is 40078914970687. The next prime is 40078914970781. The reversal of 40078914970752 is 25707941987004.

40078914970752 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 8 + 91 + 497 + 0 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 40078914970752.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5621951124 + ... + 5621958252.

It is an arithmetic number, because the mean of its divisors is an integer number (141633885000).

Almost surely, 2^{40078914970752} is an apocalyptic number.

40078914970752 is a gapful number since it is divisible by the number (42) 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 40078914970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72516549120000).

40078914970752 is an abundant number, since it is smaller than the sum of its proper divisors (104954183269248).

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

40078914970752 is an equidigital number, since it uses as much as digits as its factorization.

40078914970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 40078914970752 in words is "forty trillion, seventy-eight billion, nine hundred fourteen million, nine hundred seventy thousand, seven hundred fifty-two".