412227996719616 has 2880 divisors, whose sum is σ = 1695508480512000. Its totient is φ = 98153175859200.

The previous prime is 412227996719587. The next prime is 412227996719639. The reversal of 412227996719616 is 616917699722214.

412227996719616 is a `hidden beast` number, since 412 + 2 + 2 + 7 + 9 + 9 + 6 + 7 + 196 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48275905875 + ... + 48275914413.

It is an arithmetic number, because the mean of its divisors is an integer number (588718222400).

Almost surely, 2^{412227996719616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412227996719616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847754240256000).

412227996719616 is an abundant number, since it is smaller than the sum of its proper divisors (1283280483792384).

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

412227996719616 is a wasteful number, since it uses less digits than its factorization.

412227996719616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652 (or 8612 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 412227996719616 in words is "four hundred twelve trillion, two hundred twenty-seven billion, nine hundred ninety-six million, seven hundred nineteen thousand, six hundred sixteen".