40638468763200 has 2688 divisors, whose sum is σ = 177386891083776. Its totient is φ = 7898923008000.

The previous prime is 40638468763199. The next prime is 40638468763213. The reversal of 40638468763200 is 236786483604.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108950318214 + ... + 108950318586.

Almost surely, 2^{40638468763200} is an apocalyptic number.

40638468763200 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 40638468763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88693445541888).

40638468763200 is an abundant number, since it is smaller than the sum of its proper divisors (136748422320576).

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

40638468763200 is a wasteful number, since it uses less digits than its factorization.

40638468763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 40638468763200 in words is "forty trillion, six hundred thirty-eight billion, four hundred sixty-eight million, seven hundred sixty-three thousand, two hundred".