412242320400 has 120 divisors (see below), whose sum is σ = 1348646550144. Its totient is φ = 107592307200.

The previous prime is 412242320393. The next prime is 412242320431. The reversal of 412242320400 is 4023242214.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3598231 + ... + 3711030.

Almost surely, 2^412242320400 is an apocalyptic number.

412242320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412242320400 is an abundant number, since it is smaller than the sum of its proper divisors (936404229744).

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

412242320400 is a wasteful number, since it uses less digits than its factorization.

412242320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309329 (or 7309318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412242320400 its reverse (4023242214), we get a palindrome (416265562614).

The spelling of 412242320400 in words is "four hundred twelve billion, two hundred forty-two million, three hundred twenty thousand, four hundred".