313114214000400 has 240 divisors, whose sum is σ = 1024379070971904. Its totient is φ = 81718255639040.

The previous prime is 313114214000359. The next prime is 313114214000411. The reversal of 313114214000400 is 4000412411313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×313114214000400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2945324047 + ... + 2945430353.

Almost surely, 2^{313114214000400} is an apocalyptic number.

313114214000400 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 313114214000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512189535485952).

313114214000400 is an abundant number, since it is smaller than the sum of its proper divisors (711264856971504).

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

313114214000400 is a wasteful number, since it uses less digits than its factorization.

313114214000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158598 (or 158587 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 313114214000400 its reverse (4000412411313), we get a palindrome (317114626411713).

The spelling of 313114214000400 in words is "three hundred thirteen trillion, one hundred fourteen billion, two hundred fourteen million, four hundred", and thus it is an aban number.