40076925880320 has 960 divisors, whose sum is σ = 164364237797760. Its totient is φ = 9149564583936.

The previous prime is 40076925880289. The next prime is 40076925880333. The reversal of 40076925880320 is 2308852967004.

40076925880320 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 69 + 258 + 8 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 5533190619 + ... + 5533197861.

It is an arithmetic number, because the mean of its divisors is an integer number (171212747706).

Almost surely, 2^{40076925880320} is an apocalyptic number.

40076925880320 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 40076925880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82182118898880).

40076925880320 is an abundant number, since it is smaller than the sum of its proper divisors (124287311917440).

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

40076925880320 is an equidigital number, since it uses as much as digits as its factorization.

40076925880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40076925880320 in words is "forty trillion, seventy-six billion, nine hundred twenty-five million, eight hundred eighty thousand, three hundred twenty".