40636253736960 has 1664 divisors, whose sum is σ = 160415186088960. Its totient is φ = 8572687613952.

The previous prime is 40636253736931. The next prime is 40636253737003. The reversal of 40636253736960 is 6963735263604.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 40636253736894 and 40636253736903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128190074722 + ... + 128190075038.

Almost surely, 2^{40636253736960} is an apocalyptic number.

40636253736960 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 40636253736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80207593044480).

40636253736960 is an abundant number, since it is smaller than the sum of its proper divisors (119778932352000).

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

40636253736960 is a wasteful number, since it uses less digits than its factorization.

40636253736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 60.

The spelling of 40636253736960 in words is "forty trillion, six hundred thirty-six billion, two hundred fifty-three million, seven hundred thirty-six thousand, nine hundred sixty".