4244412151296 has 360 divisors, whose sum is σ = 13279891464840. Its totient is φ = 1353269846016.

The previous prime is 4244412151267. The next prime is 4244412151303. The reversal of 4244412151296 is 6921512144424.

4244412151296 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 4 + 121 + 512 + 9 + 6 = 666.

4244412151296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65783820 + ... + 65848308.

Almost surely, 2^{4244412151296} is an apocalyptic number.

4244412151296 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 4244412151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639945732420).

4244412151296 is an abundant number, since it is smaller than the sum of its proper divisors (9035479313544).

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

4244412151296 is an frugal number, since it uses more digits than its factorization.

4244412151296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64568 (or 64517 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 4244412151296 in words is "four trillion, two hundred forty-four billion, four hundred twelve million, one hundred fifty-one thousand, two hundred ninety-six".