420311323113024 has 224 divisors, whose sum is σ = 1350821712148480. Its totient is φ = 112663929397248.

The previous prime is 420311323113013. The next prime is 420311323113037.

420311323113024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 420311323112982 and 420311323113000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77270569 + ... + 82530984.

Almost surely, 2^{420311323113024} is an apocalyptic number.

It is an amenable number.

420311323113024 is an abundant number, since it is smaller than the sum of its proper divisors (930510389035456).

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

420311323113024 is a wasteful number, since it uses less digits than its factorization.

420311323113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159801697 (or 159801687 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 420311323113024 in words is "four hundred twenty trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thirteen thousand, twenty-four".