314388541400 has 48 divisors (see below), whose sum is σ = 731013108000. Its totient is φ = 125745137280.

The previous prime is 314388541399. The next prime is 314388541417. The reversal of 314388541400 is 4145883413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2681201 + ... + 2795999.

It is an arithmetic number, because the mean of its divisors is an integer number (15229439750).

Almost surely, 2^314388541400 is an apocalyptic number.

It is an amenable number.

314388541400 is an abundant number, since it is smaller than the sum of its proper divisors (416624566600).

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

314388541400 is a wasteful number, since it uses less digits than its factorization.

314388541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128508 (or 128499 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 314388541400 in words is "three hundred fourteen billion, three hundred eighty-eight million, five hundred forty-one thousand, four hundred".