420355553024 has 72 divisors (see below), whose sum is σ = 937673921520. Its totient is φ = 186410393600.

The previous prime is 420355553021. The next prime is 420355553027.

420355553024 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (420355553021) and next prime (420355553027).

It is a super-2 number, since 2×420355553024² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420355553021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1704959 + ... + 1935870.

It is an arithmetic number, because the mean of its divisors is an integer number (13023248910).

Almost surely, 2^420355553024 is an apocalyptic number.

420355553024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420355553024 is an abundant number, since it is smaller than the sum of its proper divisors (517318368496).

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

420355553024 is a wasteful number, since it uses less digits than its factorization.

420355553024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640897 (or 3640883 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

It can be divided in two parts, 420355 and 553024, that added together give a palindrome (973379).

The spelling of 420355553024 in words is "four hundred twenty billion, three hundred fifty-five million, five hundred fifty-three thousand, twenty-four".