421204424402124 has 216 divisors, whose sum is σ = 1171202601448880. Its totient is φ = 127539564768000.

The previous prime is 421204424402117. The next prime is 421204424402239.

421204424402124 is a `hidden beast` number, since 4 + 2 + 1 + 204 + 4 + 2 + 440 + 2 + 1 + 2 + 4 = 666.

421204424402124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×421204424402124² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46332018819 + ... + 46332027909.

Almost surely, 2^{421204424402124} is an apocalyptic number.

421204424402124 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 421204424402124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585601300724440).

421204424402124 is an abundant number, since it is smaller than the sum of its proper divisors (749998177046756).

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

421204424402124 is a wasteful number, since it uses less digits than its factorization.

421204424402124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16117 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

It can be divided in two parts, 42120 and 4424402124, that added together give a palindrome (4424444244).

The spelling of 421204424402124 in words is "four hundred twenty-one trillion, two hundred four billion, four hundred twenty-four million, four hundred two thousand, one hundred twenty-four".