314331431142420 has 72 divisors (see below), whose sum is σ = 986350352911560. Its totient is φ = 80931311005440.

The previous prime is 314331431142419. The next prime is 314331431142437. The reversal of 314331431142420 is 24241134133413.

314331431142420 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 314 + 311 + 4 + 2 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106221839734404 + 208109591408016 = 10306398^2 + 14426004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30108369411 + ... + 30108379850.

It is an arithmetic number, because the mean of its divisors is an integer number (13699310457105).

Almost surely, 2^{314331431142420} is an apocalyptic number.

314331431142420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314331431142420 is an abundant number, since it is smaller than the sum of its proper divisors (672018921769140).

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

314331431142420 is a wasteful number, since it uses less digits than its factorization.

314331431142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60216749305 (or 60216749300 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 314331431142420 its reverse (24241134133413), we get a palindrome (338572565275833).

The spelling of 314331431142420 in words is "three hundred fourteen trillion, three hundred thirty-one billion, four hundred thirty-one million, one hundred forty-two thousand, four hundred twenty".