420511115024 has 80 divisors (see below), whose sum is σ = 1093917068160. Its totient is φ = 151232762880.

The previous prime is 420511114981. The next prime is 420511115039.

It is a happy number.

420511115024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 420511114984 and 420511115002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13111829 + ... + 13143860.

It is an arithmetic number, because the mean of its divisors is an integer number (13673963352).

Almost surely, 2^420511115024 is an apocalyptic number.

420511115024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420511115024 is an abundant number, since it is smaller than the sum of its proper divisors (673405953136).

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

420511115024 is a wasteful number, since it uses less digits than its factorization.

420511115024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26255728 (or 26255722 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 420511 and 115024, that added together give a palindrome (535535).

The spelling of 420511115024 in words is "four hundred twenty billion, five hundred eleven million, one hundred fifteen thousand, twenty-four".