412586798400 has 504 divisors, whose sum is σ = 1678134092544. Its totient is φ = 94181068800.

The previous prime is 412586798383. The next prime is 412586798411. The reversal of 412586798400 is 4897685214.

It is a happy number.

412586798400 is a `hidden beast` number, since 4 + 12 + 586 + 7 + 9 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91826554 + ... + 91831046.

It is an arithmetic number, because the mean of its divisors is an integer number (3329631136).

Almost surely, 2^412586798400 is an apocalyptic number.

412586798400 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 412586798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839067046272).

412586798400 is an abundant number, since it is smaller than the sum of its proper divisors (1265547294144).

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

412586798400 is a wasteful number, since it uses less digits than its factorization.

412586798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 412586798400 in words is "four hundred twelve billion, five hundred eighty-six million, seven hundred ninety-eight thousand, four hundred".