412999671168 has 384 divisors, whose sum is σ = 1445446080000. Its totient is φ = 110493351936.

The previous prime is 412999671137. The next prime is 412999671173. The reversal of 412999671168 is 861176999214.

412999671168 is a `hidden beast` number, since 412 + 9 + 9 + 96 + 71 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×412999671168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 27272943 + ... + 27288081.

It is an arithmetic number, because the mean of its divisors is an integer number (3764182500).

Almost surely, 2^412999671168 is an apocalyptic number.

412999671168 is a gapful number since it is divisible by the number (48) 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 412999671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722723040000).

412999671168 is an abundant number, since it is smaller than the sum of its proper divisors (1032446408832).

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

412999671168 is a wasteful number, since it uses less digits than its factorization.

412999671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15382 (or 15367 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 412999671168 in words is "four hundred twelve billion, nine hundred ninety-nine million, six hundred seventy-one thousand, one hundred sixty-eight".