421126512400 has 180 divisors, whose sum is σ = 1113433235712. Its totient is φ = 152952800000.

The previous prime is 421126512397. The next prime is 421126512403. The reversal of 421126512400 is 4215621124.

It is an interprime number because it is at equal distance from previous prime (421126512397) and next prime (421126512403).

It is not an unprimeable number, because it can be changed into a prime (421126512403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44087625 + ... + 44097175.

Almost surely, 2^421126512400 is an apocalyptic number.

421126512400 is a gapful number since it is divisible by the number (40) 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 421126512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556716617856).

421126512400 is an abundant number, since it is smaller than the sum of its proper divisors (692306723312).

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

421126512400 is a wasteful number, since it uses less digits than its factorization.

421126512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 421126512400 in words is "four hundred twenty-one billion, one hundred twenty-six million, five hundred twelve thousand, four hundred".