838139904000 has 1440 divisors, whose sum is σ = 3636332271000. Its totient is φ = 184968806400.

The previous prime is 838139903977. The next prime is 838139904001. The reversal of 838139904000 is 409931838.

838139904000 is a `hidden beast` number, since 83 + 81 + 3 + 9 + 90 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255372558336 + 582767345664 = 505344^2 + 763392^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (838139904001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28901375986 + ... + 28901376014.

Almost surely, 2^838139904000 is an apocalyptic number.

838139904000 is a gapful number since it is divisible by the number (80) 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 838139904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818166135500).

838139904000 is an abundant number, since it is smaller than the sum of its proper divisors (2798192367000).

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

838139904000 is an frugal number, since it uses more digits than its factorization.

838139904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 838139904000 in words is "eight hundred thirty-eight billion, one hundred thirty-nine million, nine hundred four thousand".