412080530400 has 1728 divisors, whose sum is σ = 2002677820416. Its totient is φ = 77045760000.

The previous prime is 412080530339. The next prime is 412080530413. The reversal of 412080530400 is 4035080214.

412080530400 is a `hidden beast` number, since 4 + 1 + 208 + 0 + 53 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 216769450 + ... + 216771350.

It is an arithmetic number, because the mean of its divisors is an integer number (1158957072).

Almost surely, 2^412080530400 is an apocalyptic number.

412080530400 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 412080530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001338910208).

412080530400 is an abundant number, since it is smaller than the sum of its proper divisors (1590597290016).

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

412080530400 is a wasteful number, since it uses less digits than its factorization.

412080530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 412080530400 in words is "four hundred twelve billion, eighty million, five hundred thirty thousand, four hundred".