420113311024 has 80 divisors (see below), whose sum is σ = 937293759360. Its totient is φ = 180909518400.

The previous prime is 420113311003. The next prime is 420113311063.

420113311024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 420113310986 and 420113311004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033179 + ... + 1381189.

It is an arithmetic number, because the mean of its divisors is an integer number (11716171992).

Almost surely, 2^420113311024 is an apocalyptic number.

420113311024 is a gapful number since it is divisible by the number (44) 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 420113311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468646879680).

420113311024 is an abundant number, since it is smaller than the sum of its proper divisors (517180448336).

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

420113311024 is a wasteful number, since it uses less digits than its factorization.

420113311024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348087 (or 348043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 420113 and 311024, that added together give a palindrome (731137).

The spelling of 420113311024 in words is "four hundred twenty billion, one hundred thirteen million, three hundred eleven thousand, twenty-four".