378130826198400 has 384 divisors, whose sum is σ = 1369921722076800. Its totient is φ = 91668075980800.

The previous prime is 378130826198303. The next prime is 378130826198413. The reversal of 378130826198400 is 4891628031873.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 2019030 + ... + 27574229.

It is an arithmetic number, because the mean of its divisors is an integer number (3567504484575).

Almost surely, 2^{378130826198400} is an apocalyptic number.

378130826198400 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 378130826198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684960861038400).

378130826198400 is an abundant number, since it is smaller than the sum of its proper divisors (991790895878400).

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

378130826198400 is a wasteful number, since it uses less digits than its factorization.

378130826198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29593319 (or 29593280 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 378130826198400 in words is "three hundred seventy-eight trillion, one hundred thirty billion, eight hundred twenty-six million, one hundred ninety-eight thousand, four hundred".