412833068724960 has 960 divisors, whose sum is σ = 1611873073464192. Its totient is φ = 98847166316544.

The previous prime is 412833068724911. The next prime is 412833068724971. The reversal of 412833068724960 is 69427860338214.

412833068724960 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 3 + 306 + 87 + 249 + 6 + 0 = 666.

It is a super-2 number, since 2×412833068724960² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32396844349 + ... + 32396857091.

Almost surely, 2^{412833068724960} is an apocalyptic number.

412833068724960 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 412833068724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805936536732096).

412833068724960 is an abundant number, since it is smaller than the sum of its proper divisors (1199040004739232).

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

412833068724960 is a wasteful number, since it uses less digits than its factorization.

412833068724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18017 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 412833068724960 in words is "four hundred twelve trillion, eight hundred thirty-three billion, sixty-eight million, seven hundred twenty-four thousand, nine hundred sixty".