420213312024 has 64 divisors (see below), whose sum is σ = 1146557168640. Its totient is φ = 127279493760.

The previous prime is 420213312019. The next prime is 420213312047.

It is a happy number.

420213312024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 420213311985 and 420213312003.

It is a congruent number.

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, 222042 + ... + 943254.

It is an arithmetic number, because the mean of its divisors is an integer number (17914955760).

Almost surely, 2^420213312024 is an apocalyptic number.

420213312024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420213312024 is an abundant number, since it is smaller than the sum of its proper divisors (726343856616).

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

420213312024 is a wasteful number, since it uses less digits than its factorization.

420213312024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723440 (or 723436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 420213 and 312024, that added together give a palindrome (732237).

The spelling of 420213312024 in words is "four hundred twenty billion, two hundred thirteen million, three hundred twelve thousand, twenty-four".