412219263456 has 2304 divisors, whose sum is σ = 1820502190080. Its totient is φ = 87296901120.

The previous prime is 412219263419. The next prime is 412219263461. The reversal of 412219263456 is 654362912214.

412219263456 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 1 + 9 + 2 + 634 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7777721926 + ... + 7777721978.

It is an arithmetic number, because the mean of its divisors is an integer number (790148520).

Almost surely, 2^412219263456 is an apocalyptic number.

412219263456 is a gapful number since it is divisible by the number (46) 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 412219263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910251095040).

412219263456 is an abundant number, since it is smaller than the sum of its proper divisors (1408282926624).

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

412219263456 is a wasteful number, since it uses less digits than its factorization.

412219263456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 129 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 412219263456 in words is "four hundred twelve billion, two hundred nineteen million, two hundred sixty-three thousand, four hundred fifty-six".