378895957440 has 2688 divisors, whose sum is σ = 1793289093120. Its totient is φ = 66421555200.

The previous prime is 378895957403. The next prime is 378895957459. The reversal of 378895957440 is 44759598873.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4796151321 + ... + 4796151399.

It is an arithmetic number, because the mean of its divisors is an integer number (667146240).

Almost surely, 2^378895957440 is an apocalyptic number.

378895957440 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 378895957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896644546560).

378895957440 is an abundant number, since it is smaller than the sum of its proper divisors (1414393135680).

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

378895957440 is a wasteful number, since it uses less digits than its factorization.

378895957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 378895957440 in words is "three hundred seventy-eight billion, eight hundred ninety-five million, nine hundred fifty-seven thousand, four hundred forty".