412102279680 has 640 divisors, whose sum is σ = 1634583379968. Its totient is φ = 86245834752.

The previous prime is 412102279663. The next prime is 412102279723. The reversal of 412102279680 is 86972201214.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88755439 + ... + 88760081.

Almost surely, 2^412102279680 is an apocalyptic number.

412102279680 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 412102279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817291689984).

412102279680 is an abundant number, since it is smaller than the sum of its proper divisors (1222481100288).

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

412102279680 is a wasteful number, since it uses less digits than its factorization.

412102279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 412102279680 in words is "four hundred twelve billion, one hundred two million, two hundred seventy-nine thousand, six hundred eighty".