40319959680000 has 7920 divisors, whose sum is σ = 211757106585024. Its totient is φ = 7524679680000.

The previous prime is 40319959679999. The next prime is 40319959680017. The reversal of 40319959680000 is 8695991304.

40319959680000 is a `hidden beast` number, since 40 + 3 + 1 + 9 + 9 + 596 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1089728639982 + ... + 1089728640018.

Almost surely, 2^{40319959680000} is an apocalyptic number.

40319959680000 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 40319959680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105878553292512).

40319959680000 is an abundant number, since it is smaller than the sum of its proper divisors (171437146905024).

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

40319959680000 is a wasteful number, since it uses less digits than its factorization.

40319959680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 40319959680000 in words is "forty trillion, three hundred nineteen billion, nine hundred fifty-nine million, six hundred eighty thousand".