314413121151400 has 24 divisors (see below), whose sum is σ = 731010506677470. Its totient is φ = 125765248460480.

The previous prime is 314413121151383. The next prime is 314413121151413. The reversal of 314413121151400 is 4151121314413.

It can be written as a sum of positive squares in 3 ways, for example, as 168225724874596 + 146187396276804 = 12970186^2 + 12090798^2 .

It is a super-2 number, since 2×314413121151400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 786032802679 + ... + 786032803078.

Almost surely, 2^{314413121151400} is an apocalyptic number.

It is an amenable number.

314413121151400 is an abundant number, since it is smaller than the sum of its proper divisors (416597385526070).

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

314413121151400 is a wasteful number, since it uses less digits than its factorization.

314413121151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572065605773 (or 1572065605764 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 314413121151400 its reverse (4151121314413), we get a palindrome (318564242465813).

The spelling of 314413121151400 in words is "three hundred fourteen trillion, four hundred thirteen billion, one hundred twenty-one million, one hundred fifty-one thousand, four hundred".