314430054400 has 672 divisors, whose sum is σ = 986037460992. Its totient is φ = 96613171200.

The previous prime is 314430054377. The next prime is 314430054431. The reversal of 314430054400 is 4450034413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2002739122 + ... + 2002739278.

Almost surely, 2^314430054400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314430054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493018730496).

314430054400 is an abundant number, since it is smaller than the sum of its proper divisors (671607406592).

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

314430054400 is a wasteful number, since it uses less digits than its factorization.

314430054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 314430054400 its reverse (4450034413), we get a palindrome (318880088813).

The spelling of 314430054400 in words is "three hundred fourteen billion, four hundred thirty million, fifty-four thousand, four hundred".