412532355332520 has 192 divisors, whose sum is σ = 1359277775266320. Its totient is φ = 108487174459392.

The previous prime is 412532355332497. The next prime is 412532355332561. The reversal of 412532355332520 is 25233553235214.

412532355332520 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 32 + 35 + 533 + 2 + 52 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 334099687219236 + 78432668113284 = 18278394^2 + 8856222^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196502622 + ... + 198590898.

Almost surely, 2^{412532355332520} is an apocalyptic number.

412532355332520 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 412532355332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679638887633160).

412532355332520 is an abundant number, since it is smaller than the sum of its proper divisors (946745419933800).

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

412532355332520 is a wasteful number, since it uses less digits than its factorization.

412532355332520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095884 (or 2095877 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 412532355332520 in words is "four hundred twelve trillion, five hundred thirty-two billion, three hundred fifty-five million, three hundred thirty-two thousand, five hundred twenty".