421234121432124 has 1728 divisors, whose sum is σ = 1552481283225600. Its totient is φ = 93460328755200.

The previous prime is 421234121432123. The next prime is 421234121432129.

421234121432124 is a `hidden beast` number, since 4 + 2 + 1 + 23 + 412 + 1 + 4 + 3 + 212 + 4 = 666.

421234121432124 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421234121432123) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 61057268827 + ... + 61057275725.

Almost surely, 2^{421234121432124} is an apocalyptic number.

421234121432124 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 421234121432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776240641612800).

421234121432124 is an abundant number, since it is smaller than the sum of its proper divisors (1131247161793476).

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

421234121432124 is a wasteful number, since it uses less digits than its factorization.

421234121432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 7176 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 421234121432124 in words is "four hundred twenty-one trillion, two hundred thirty-four billion, one hundred twenty-one million, four hundred thirty-two thousand, one hundred twenty-four".