412393190400 has 396 divisors, whose sum is σ = 1508018546112. Its totient is φ = 107628871680.

The previous prime is 412393190347. The next prime is 412393190413. The reversal of 412393190400 is 4091393214.

412393190400 is a `hidden beast` number, since 4 + 1 + 239 + 3 + 19 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10809759 + ... + 10847841.

Almost surely, 2^412393190400 is an apocalyptic number.

412393190400 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 412393190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754009273056).

412393190400 is an abundant number, since it is smaller than the sum of its proper divisors (1095625355712).

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

412393190400 is a wasteful number, since it uses less digits than its factorization.

412393190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38166 (or 38140 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 412393190400 in words is "four hundred twelve billion, three hundred ninety-three million, one hundred ninety thousand, four hundred".