378145382400 has 252 divisors, whose sum is σ = 1354524716142. Its totient is φ = 100838277120.

The previous prime is 378145382399. The next prime is 378145382413. The reversal of 378145382400 is 4283541873.

378145382400 is a `hidden beast` number, since 3 + 7 + 81 + 453 + 82 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 341355073536 + 36790308864 = 584256^2 + 191808^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1740622 + ... + 1945778.

Almost surely, 2^378145382400 is an apocalyptic number.

378145382400 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 378145382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677262358071).

378145382400 is an abundant number, since it is smaller than the sum of its proper divisors (976379333742).

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

378145382400 is a wasteful number, since it uses less digits than its factorization.

378145382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205199 (or 205167 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 378145382400 in words is "three hundred seventy-eight billion, one hundred forty-five million, three hundred eighty-two thousand, four hundred".