420352253024 has 96 divisors (see below), whose sum is σ = 905765680512. Its totient is φ = 190443136000.

The previous prime is 420352253021. The next prime is 420352253039.

420352253024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420352253021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217685339 + ... + 217687269.

It is an arithmetic number, because the mean of its divisors is an integer number (9435059172).

Almost surely, 2^420352253024 is an apocalyptic number.

420352253024 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 420352253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452882840256).

420352253024 is an abundant number, since it is smaller than the sum of its proper divisors (485413427488).

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

420352253024 is a wasteful number, since it uses less digits than its factorization.

420352253024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 420352 and 253024, that added together give a palindrome (673376).

The spelling of 420352253024 in words is "four hundred twenty billion, three hundred fifty-two million, two hundred fifty-three thousand, twenty-four".