40645400152500 has 1440 divisors, whose sum is σ = 158996857219200. Its totient is φ = 8615093760000.

The previous prime is 40645400152481. The next prime is 40645400152501. The reversal of 40645400152500 is 525100454604.

40645400152500 is a `hidden beast` number, since 4 + 0 + 6 + 454 + 0 + 0 + 152 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40645400152501) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4945293391 + ... + 4945301609.

It is an arithmetic number, because the mean of its divisors is an integer number (110414484180).

Almost surely, 2^{40645400152500} 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 40645400152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79498428609600).

40645400152500 is an abundant number, since it is smaller than the sum of its proper divisors (118351457066700).

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

40645400152500 is a wasteful number, since it uses less digits than its factorization.

40645400152500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8335 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 40645400152500 in words is "forty trillion, six hundred forty-five billion, four hundred million, one hundred fifty-two thousand, five hundred".