1224405107856 has 960 divisors, whose sum is σ = 4337847360000. Its totient is φ = 330302085120.

The previous prime is 1224405107789. The next prime is 1224405107869. The reversal of 1224405107856 is 6587015044221.

1224405107856 is a `hidden beast` number, since 1 + 2 + 24 + 40 + 510 + 78 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11233074330 + ... + 11233074438.

It is an arithmetic number, because the mean of its divisors is an integer number (4518591000).

Almost surely, 2^{1224405107856} is an apocalyptic number.

1224405107856 is a gapful number since it is divisible by the number (16) 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 1224405107856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168923680000).

1224405107856 is an abundant number, since it is smaller than the sum of its proper divisors (3113442252144).

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

1224405107856 is a wasteful number, since it uses less digits than its factorization.

1224405107856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1224405107856 in words is "one trillion, two hundred twenty-four billion, four hundred five million, one hundred seven thousand, eight hundred fifty-six".