40765593157632 has 1632 divisors, whose sum is σ = 151144785792000. Its totient is φ = 10937205522432.

The previous prime is 40765593157621. The next prime is 40765593157637. The reversal of 40765593157632 is 23675139556704.

It is a happy number.

40765593157632 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 5 + 59 + 3 + 1 + 576 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 40765593157632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40765593157637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92860120869 + ... + 92860121307.

Almost surely, 2^{40765593157632} is an apocalyptic number.

40765593157632 is a gapful number since it is divisible by the number (42) 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 40765593157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75572392896000).

40765593157632 is an abundant number, since it is smaller than the sum of its proper divisors (110379192634368).

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

40765593157632 is an frugal number, since it uses more digits than its factorization.

40765593157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 40765593157632 in words is "forty trillion, seven hundred sixty-five billion, five hundred ninety-three million, one hundred fifty-seven thousand, six hundred thirty-two".