421320141023124 has 192 divisors, whose sum is σ = 1155279276490752. Its totient is φ = 116996750438400.

The previous prime is 421320141023107. The next prime is 421320141023143.

It is a happy number.

421320141023124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×421320141023124² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421320141023091 and 421320141023100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18473270529 + ... + 18473293335.

It is an arithmetic number, because the mean of its divisors is an integer number (6017079565056).

Almost surely, 2^{421320141023124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421320141023124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577639638245376).

421320141023124 is an abundant number, since it is smaller than the sum of its proper divisors (733959135467628).

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

421320141023124 is a wasteful number, since it uses less digits than its factorization.

421320141023124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42926 (or 42924 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 421320141023124 in words is "four hundred twenty-one trillion, three hundred twenty billion, one hundred forty-one million, twenty-three thousand, one hundred twenty-four".