378875125440 has 672 divisors, whose sum is σ = 1541402763264. Its totient is φ = 83587645440.

The previous prime is 378875125429. The next prime is 378875125457. The reversal of 378875125440 is 44521578873.

378875125440 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 75 + 125 + 440 = 666.

378875125440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404348652 + ... + 404349588.

It is an arithmetic number, because the mean of its divisors is an integer number (2293754112).

Almost surely, 2^378875125440 is an apocalyptic number.

378875125440 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 378875125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770701381632).

378875125440 is an abundant number, since it is smaller than the sum of its proper divisors (1162527637824).

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

378875125440 is a wasteful number, since it uses less digits than its factorization.

378875125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 378875125440 in words is "three hundred seventy-eight billion, eight hundred seventy-five million, one hundred twenty-five thousand, four hundred forty".