421314303413124 has 108 divisors (see below), whose sum is σ = 1180967032145628. Its totient is φ = 126541169018880.

The previous prime is 421314303412693. The next prime is 421314303413149.

421314303413124 is a `hidden beast` number, since 4 + 2 + 1 + 31 + 4 + 303 + 4 + 1 + 312 + 4 = 666.

421314303413124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 14562771854400 + 406751531558724 = 3816120^2 + 20168082^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427474389 + ... + 428458844.

Almost surely, 2^{421314303413124} is an apocalyptic number.

421314303413124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421314303413124 is an abundant number, since it is smaller than the sum of its proper divisors (759652728732504).

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

421314303413124 is a wasteful number, since it uses less digits than its factorization.

421314303413124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855933378 (or 855933362 counting only the distinct ones).

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

It can be divided in two parts, 42131430 and 3413124, that added together give a palindrome (45544554).

The spelling of 421314303413124 in words is "four hundred twenty-one trillion, three hundred fourteen billion, three hundred three million, four hundred thirteen thousand, one hundred twenty-four".