638831041920000 has 880 divisors, whose sum is σ = 2366509697613600. Its totient is φ = 170183393280000.

The previous prime is 638831041919989. The next prime is 638831041920077. The reversal of 638831041920000 is 29140138836.

638831041920000 is a `hidden beast` number, since 638 + 8 + 3 + 1 + 0 + 4 + 1 + 9 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17642861896 + ... + 17642898104.

It is an arithmetic number, because the mean of its divisors is an integer number (2689215565470).

Almost surely, 2^{638831041920000} is an apocalyptic number.

638831041920000 is a gapful number since it is divisible by the number (60) 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 638831041920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183254848806800).

638831041920000 is an abundant number, since it is smaller than the sum of its proper divisors (1727678655693600).

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

638831041920000 is a wasteful number, since it uses less digits than its factorization.

638831041920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37279 (or 37240 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 638831041920000 in words is "six hundred thirty-eight trillion, eight hundred thirty-one billion, forty-one million, nine hundred twenty thousand".