412449117696 has 1120 divisors, whose sum is σ = 1566324891648. Its totient is φ = 105345515520.

The previous prime is 412449117679. The next prime is 412449117709. The reversal of 412449117696 is 696711944214.

It is a happy number.

412449117696 is a `hidden beast` number, since 41 + 2 + 449 + 1 + 1 + 76 + 96 = 666.

It is a super-2 number, since 2×412449117696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3247630785 + ... + 3247630911.

Almost surely, 2^412449117696 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 412449117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783162445824).

412449117696 is an abundant number, since it is smaller than the sum of its proper divisors (1153875773952).

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

412449117696 is a wasteful number, since it uses less digits than its factorization.

412449117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 412449117696 in words is "four hundred twelve billion, four hundred forty-nine million, one hundred seventeen thousand, six hundred ninety-six".