40463438685696 has 640 divisors, whose sum is σ = 130326148592640. Its totient is φ = 12321474084864.

The previous prime is 40463438685689. The next prime is 40463438685811. The reversal of 40463438685696 is 69658683436404.

40463438685696 is a `hidden beast` number, since 4 + 0 + 46 + 3 + 438 + 68 + 5 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19962228235 + ... + 19962230261.

It is an arithmetic number, because the mean of its divisors is an integer number (203634607176).

Almost surely, 2^{40463438685696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40463438685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65163074296320).

40463438685696 is an abundant number, since it is smaller than the sum of its proper divisors (89862709906944).

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

40463438685696 is a wasteful number, since it uses less digits than its factorization.

40463438685696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 72.

The spelling of 40463438685696 in words is "forty trillion, four hundred sixty-three billion, four hundred thirty-eight million, six hundred eighty-five thousand, six hundred ninety-six".