40669499925600 has 3456 divisors, whose sum is σ = 178712631659520. Its totient is φ = 7944018001920.

The previous prime is 40669499925589. The next prime is 40669499925673. The reversal of 40669499925600 is 652999496604.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 259041400722 + ... + 259041400878.

It is an arithmetic number, because the mean of its divisors is an integer number (51710830920).

Almost surely, 2^{40669499925600} is an apocalyptic number.

40669499925600 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 40669499925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89356315829760).

40669499925600 is an abundant number, since it is smaller than the sum of its proper divisors (138043131733920).

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

40669499925600 is a wasteful number, since it uses less digits than its factorization.

40669499925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 69.

The spelling of 40669499925600 in words is "forty trillion, six hundred sixty-nine billion, four hundred ninety-nine million, nine hundred twenty-five thousand, six hundred".