421411152400 has 270 divisors, whose sum is σ = 1192479185562. Its totient is φ = 142697318400.

The previous prime is 421411152373. The next prime is 421411152427. The reversal of 421411152400 is 4251114124.

It is an interprime number because it is at equal distance from previous prime (421411152373) and next prime (421411152427).

It can be written as a sum of positive squares in 3 ways, for example, as 6999664896 + 414411487504 = 83664^2 + 643748^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 135022840 + ... + 135025960.

Almost surely, 2^421411152400 is an apocalyptic number.

421411152400 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 421411152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596239592781).

421411152400 is an abundant number, since it is smaller than the sum of its proper divisors (771068033162).

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

421411152400 is a wasteful number, since it uses less digits than its factorization.

421411152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 421411152400 its reverse (4251114124), we get a palindrome (425662266524).

The spelling of 421411152400 in words is "four hundred twenty-one billion, four hundred eleven million, one hundred fifty-two thousand, four hundred".