412227578400 has 288 divisors, whose sum is σ = 1466834116608. Its totient is φ = 99725644800.

The previous prime is 412227578387. The next prime is 412227578449. The reversal of 412227578400 is 4875722214.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12840769 + ... + 12872831.

It is an arithmetic number, because the mean of its divisors is an integer number (5093174016).

Almost surely, 2^412227578400 is an apocalyptic number.

412227578400 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 412227578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733417058304).

412227578400 is an abundant number, since it is smaller than the sum of its proper divisors (1054606538208).

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

412227578400 is a wasteful number, since it uses less digits than its factorization.

412227578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32584 (or 32571 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 412227578400 in words is "four hundred twelve billion, two hundred twenty-seven million, five hundred seventy-eight thousand, four hundred".