40953625795584 has 528 divisors, whose sum is σ = 126077155547616. Its totient is φ = 13268518502400.

The previous prime is 40953625795571. The next prime is 40953625795609. The reversal of 40953625795584 is 48559752635904.

40953625795584 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 3 + 62 + 5 + 7 + 9 + 558 + 4 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12714567094 + ... + 12714570314.

Almost surely, 2^{40953625795584} 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 40953625795584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63038577773808).

40953625795584 is an abundant number, since it is smaller than the sum of its proper divisors (85123529752032).

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

40953625795584 is a wasteful number, since it uses less digits than its factorization.

40953625795584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 1632960000, while the sum is 72.

The spelling of 40953625795584 in words is "forty trillion, nine hundred fifty-three billion, six hundred twenty-five million, seven hundred ninety-five thousand, five hundred eighty-four".