412661598720 has 960 divisors, whose sum is σ = 1617556469760. Its totient is φ = 89572589568.

The previous prime is 412661598683. The next prime is 412661598721. The reversal of 412661598720 is 27895166214.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412661598721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968788411 + ... + 2968788549.

It is an arithmetic number, because the mean of its divisors is an integer number (1684954656).

Almost surely, 2^412661598720 is an apocalyptic number.

412661598720 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 412661598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808778234880).

412661598720 is an abundant number, since it is smaller than the sum of its proper divisors (1204894871040).

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

412661598720 is an frugal number, since it uses more digits than its factorization.

412661598720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 412661598720 in words is "four hundred twelve billion, six hundred sixty-one million, five hundred ninety-eight thousand, seven hundred twenty".