412913023200 has 216 divisors, whose sum is σ = 1456670110896. Its totient is φ = 110062080000.

The previous prime is 412913023189. The next prime is 412913023207. The reversal of 412913023200 is 2320319214.

It is a happy number.

412913023200 is a `hidden beast` number, since 41 + 291 + 302 + 32 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412913023207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18355960 + ... + 18378440.

It is an arithmetic number, because the mean of its divisors is an integer number (6743843106).

Almost surely, 2^412913023200 is an apocalyptic number.

412913023200 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 412913023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728335055448).

412913023200 is an abundant number, since it is smaller than the sum of its proper divisors (1043757087696).

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

412913023200 is a wasteful number, since it uses less digits than its factorization.

412913023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25058 (or 25042 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 412913023200 in words is "four hundred twelve billion, nine hundred thirteen million, twenty-three thousand, two hundred".