420011110024 has 128 divisors (see below), whose sum is σ = 917432208000. Its totient is φ = 178263244800.

The previous prime is 420011110009. The next prime is 420011110061.

It is a happy number.

420011110024 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35167894 + ... + 35179834.

It is an arithmetic number, because the mean of its divisors is an integer number (7167439125).

Almost surely, 2^420011110024 is an apocalyptic number.

420011110024 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 420011110024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458716104000).

420011110024 is an abundant number, since it is smaller than the sum of its proper divisors (497421097976).

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

420011110024 is a wasteful number, since it uses less digits than its factorization.

420011110024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 420011 and 110024, that added together give a palindrome (530035).

The spelling of 420011110024 in words is "four hundred twenty billion, eleven million, one hundred ten thousand, twenty-four".