40965880032000 has 3456 divisors, whose sum is σ = 193710339164160. Its totient is φ = 8500681728000.

The previous prime is 40965880031981. The next prime is 40965880032017. The reversal of 40965880032000 is 23008856904.

40965880032000 is a `hidden beast` number, since 40 + 9 + 6 + 588 + 0 + 0 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 56349215637 + ... + 56349216363.

It is an arithmetic number, because the mean of its divisors is an integer number (56050445360).

Almost surely, 2^{40965880032000} is an apocalyptic number.

40965880032000 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 40965880032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96855169582080).

40965880032000 is an abundant number, since it is smaller than the sum of its proper divisors (152744459132160).

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

40965880032000 is an equidigital number, since it uses as much as digits as its factorization.

40965880032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 40965880032000 its reverse (23008856904), we get a palindrome (40988888888904).

The spelling of 40965880032000 in words is "forty trillion, nine hundred sixty-five billion, eight hundred eighty million, thirty-two thousand".