380539118400 has 336 divisors, whose sum is σ = 1432298993664. Its totient is φ = 86647633920.

The previous prime is 380539118347. The next prime is 380539118429. The reversal of 380539118400 is 4811935083.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8815269 + ... + 8858331.

It is an arithmetic number, because the mean of its divisors is an integer number (4262794624).

Almost surely, 2^380539118400 is an apocalyptic number.

380539118400 is a gapful number since it is divisible by the number (30) 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 380539118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716149496832).

380539118400 is an abundant number, since it is smaller than the sum of its proper divisors (1051759875264).

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

380539118400 is a wasteful number, since it uses less digits than its factorization.

380539118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43358 (or 43343 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 380539118400 in words is "three hundred eighty billion, five hundred thirty-nine million, one hundred eighteen thousand, four hundred".