374054630400 has 1980 divisors, whose sum is σ = 1630501724544. Its totient is φ = 83939328000.

The previous prime is 374054630387. The next prime is 374054630437. The reversal of 374054630400 is 4036450473.

It is a happy number.

374054630400 is a `hidden beast` number, since 3 + 7 + 40 + 546 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12066278385 + ... + 12066278415.

Almost surely, 2^374054630400 is an apocalyptic number.

374054630400 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 374054630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815250862272).

374054630400 is an abundant number, since it is smaller than the sum of its proper divisors (1256447094144).

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

374054630400 is a wasteful number, since it uses less digits than its factorization.

374054630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 374054630400 in words is "three hundred seventy-four billion, fifty-four million, six hundred thirty thousand, four hundred".