412647948288 has 304 divisors, whose sum is σ = 1233374681760. Its totient is φ = 136348434432.

The previous prime is 412647948281. The next prime is 412647948299. The reversal of 412647948288 is 882849746214.

412647948288 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 4 + 79 + 482 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412647948281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224474456 + ... + 1224474792.

Almost surely, 2^412647948288 is an apocalyptic number.

412647948288 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 412647948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616687340880).

412647948288 is an abundant number, since it is smaller than the sum of its proper divisors (820726733472).

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

412647948288 is an frugal number, since it uses more digits than its factorization.

412647948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 515 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 412647948288 in words is "four hundred twelve billion, six hundred forty-seven million, nine hundred forty-eight thousand, two hundred eighty-eight".