412041062400 has 864 divisors, whose sum is σ = 1556768172960. Its totient is φ = 95338496000.

The previous prime is 412041062387. The next prime is 412041062437. The reversal of 412041062400 is 4260140214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 893798170 + ... + 893798630.

It is an arithmetic number, because the mean of its divisors is an integer number (1801815015).

Almost surely, 2^412041062400 is an apocalyptic number.

412041062400 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 412041062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778384086480).

412041062400 is an abundant number, since it is smaller than the sum of its proper divisors (1144727110560).

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

412041062400 is a wasteful number, since it uses less digits than its factorization.

412041062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 412041062400 in words is "four hundred twelve billion, forty-one million, sixty-two thousand, four hundred".