40314124908960 has 2304 divisors, whose sum is σ = 168911814758400. Its totient is φ = 8011461427200.

The previous prime is 40314124908943. The next prime is 40314124908961. The reversal of 40314124908960 is 6980942141304.

It is not an unprimeable number, because it can be changed into a prime (40314124908961) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 62892550240 + ... + 62892550880.

It is an arithmetic number, because the mean of its divisors is an integer number (73312419600).

Almost surely, 2^{40314124908960} is an apocalyptic number.

40314124908960 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 40314124908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84455907379200).

40314124908960 is an abundant number, since it is smaller than the sum of its proper divisors (128597689849440).

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

40314124908960 is a wasteful number, since it uses less digits than its factorization.

40314124908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 40314124908960 in words is "forty trillion, three hundred fourteen billion, one hundred twenty-four million, nine hundred eight thousand, nine hundred sixty".