412274580480 has 1056 divisors, whose sum is σ = 1733405626368. Its totient is φ = 88562073600.

The previous prime is 412274580469. The next prime is 412274580559. The reversal of 412274580480 is 84085472214.

412274580480 is a `hidden beast` number, since 4 + 1 + 2 + 27 + 4 + 580 + 48 + 0 = 666.

It is a super-3 number, since 3×412274580480³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452551225 + ... + 452552135.

Almost surely, 2^412274580480 is an apocalyptic number.

412274580480 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 412274580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866702813184).

412274580480 is an abundant number, since it is smaller than the sum of its proper divisors (1321131045888).

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

412274580480 is a wasteful number, since it uses less digits than its factorization.

412274580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 412274580480 in words is "four hundred twelve billion, two hundred seventy-four million, five hundred eighty thousand, four hundred eighty".