412847319564288 has 1440 divisors, whose sum is σ = 1458359222785920. Its totient is φ = 116494080933888.

The previous prime is 412847319564287. The next prime is 412847319564289. The reversal of 412847319564288 is 882465913748214.

412847319564288 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 4 + 7 + 3 + 195 + 6 + 428 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (412847319564287) and next prime (412847319564289).

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

It is not an unprimeable number, because it can be changed into a prime (412847319564287) 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, 145727961720 + ... + 145727964552.

It is an arithmetic number, because the mean of its divisors is an integer number (1012749460268).

Almost surely, 2^{412847319564288} is an apocalyptic number.

412847319564288 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 412847319564288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729179611392960).

412847319564288 is an abundant number, since it is smaller than the sum of its proper divisors (1045511903221632).

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

412847319564288 is an frugal number, since it uses more digits than its factorization.

412847319564288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2928 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 412847319564288 in words is "four hundred twelve trillion, eight hundred forty-seven billion, three hundred nineteen million, five hundred sixty-four thousand, two hundred eighty-eight".