412321124400 has 120 divisors (see below), whose sum is σ = 1329215360784. Its totient is φ = 109251916800.

The previous prime is 412321124387. The next prime is 412321124417. The reversal of 412321124400 is 4421123214.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 905871 + ... + 1282670.

Almost surely, 2^412321124400 is an apocalyptic number.

412321124400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412321124400 is an abundant number, since it is smaller than the sum of its proper divisors (916894236384).

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

412321124400 is a wasteful number, since it uses less digits than its factorization.

412321124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188719 (or 2188708 counting only the distinct ones).

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

Adding to 412321124400 its reverse (4421123214), we get a palindrome (416742247614).

The spelling of 412321124400 in words is "four hundred twelve billion, three hundred twenty-one million, one hundred twenty-four thousand, four hundred".