378270631440 has 360 divisors, whose sum is σ = 1396157068800. Its totient is φ = 91721051136.

The previous prime is 378270631339. The next prime is 378270631451. The reversal of 378270631440 is 44136072873.

378270631440 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 7 + 0 + 631 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×378270631440² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8129361 + ... + 8175759.

It is an arithmetic number, because the mean of its divisors is an integer number (3878214080).

Almost surely, 2^378270631440 is an apocalyptic number.

378270631440 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 378270631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698078534400).

378270631440 is an abundant number, since it is smaller than the sum of its proper divisors (1017886437360).

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

378270631440 is a wasteful number, since it uses less digits than its factorization.

378270631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46511 (or 46489 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 378270631440 in words is "three hundred seventy-eight billion, two hundred seventy million, six hundred thirty-one thousand, four hundred forty".