930138674400 has 432 divisors, whose sum is σ = 3547843017264. Its totient is φ = 227943383040.

The previous prime is 930138674369. The next prime is 930138674417. The reversal of 930138674400 is 4476831039.

930138674400 is a `hidden beast` number, since 93 + 0 + 13 + 86 + 74 + 400 = 666.

It is a super-2 number, since 2×930138674400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21225312 + ... + 21269088.

It is an arithmetic number, because the mean of its divisors is an integer number (8212599577).

Almost surely, 2^930138674400 is an apocalyptic number.

930138674400 is a gapful number since it is divisible by the number (90) 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 930138674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773921508632).

930138674400 is an abundant number, since it is smaller than the sum of its proper divisors (2617704342864).

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

930138674400 is a wasteful number, since it uses less digits than its factorization.

930138674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44043 (or 44027 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 930138674400 in words is "nine hundred thirty billion, one hundred thirty-eight million, six hundred seventy-four thousand, four hundred".