314994422400 has 576 divisors, whose sum is σ = 1245892757760. Its totient is φ = 69672960000.

The previous prime is 314994422399. The next prime is 314994422411. The reversal of 314994422400 is 4224499413.

It is a super-2 number, since 2×314994422400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 14571600 + ... + 14593200.

It is an arithmetic number, because the mean of its divisors is an integer number (2163008260).

Almost surely, 2^314994422400 is an apocalyptic number.

314994422400 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 314994422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622946378880).

314994422400 is an abundant number, since it is smaller than the sum of its proper divisors (930898335360).

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

314994422400 is a wasteful number, since it uses less digits than its factorization.

314994422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21673 (or 21649 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 314994422400 in words is "three hundred fourteen billion, nine hundred ninety-four million, four hundred twenty-two thousand, four hundred".