412304020400 has 180 divisors, whose sum is σ = 1048914878544. Its totient is φ = 155722176000.

The previous prime is 412304020399. The next prime is 412304020423. The reversal of 412304020400 is 4020403214.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 44903810 + ... + 44912990.

Almost surely, 2^412304020400 is an apocalyptic number.

412304020400 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 412304020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524457439272).

412304020400 is an abundant number, since it is smaller than the sum of its proper divisors (636610858144).

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

412304020400 is a wasteful number, since it uses less digits than its factorization.

412304020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 412304020400 its reverse (4020403214), we get a palindrome (416324423614).

The spelling of 412304020400 in words is "four hundred twelve billion, three hundred four million, twenty thousand, four hundred".