314121796800 has 672 divisors, whose sum is σ = 1199299144704. Its totient is φ = 70502400000.

The previous prime is 314121796753. The next prime is 314121796811. The reversal of 314121796800 is 8697121413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 512433294 + ... + 512433906.

Almost surely, 2^314121796800 is an apocalyptic number.

314121796800 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 314121796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599649572352).

314121796800 is an abundant number, since it is smaller than the sum of its proper divisors (885177347904).

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

314121796800 is a wasteful number, since it uses less digits than its factorization.

314121796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 314121796800 in words is "three hundred fourteen billion, one hundred twenty-one million, seven hundred ninety-six thousand, eight hundred".