40399680360000 has 560 divisors, whose sum is σ = 146559809398464. Its totient is φ = 9756883968000.

The previous prime is 40399680359993. The next prime is 40399680360029. The reversal of 40399680360000 is 6308699304.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 82435687 + ... + 82924313.

Almost surely, 2^{40399680360000} is an apocalyptic number.

40399680360000 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 40399680360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73279904699232).

40399680360000 is an abundant number, since it is smaller than the sum of its proper divisors (106160129038464).

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

40399680360000 is a wasteful number, since it uses less digits than its factorization.

40399680360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488728 (or 488703 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 40399680360000 in words is "forty trillion, three hundred ninety-nine billion, six hundred eighty million, three hundred sixty thousand".