1124404082256 has 320 divisors, whose sum is σ = 3769616506880. Its totient is φ = 280458547200.

The previous prime is 1124404082233. The next prime is 1124404082261. The reversal of 1124404082256 is 6522804044211.

It is a super-2 number, since 2×1124404082256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49866921 + ... + 49889463.

It is an arithmetic number, because the mean of its divisors is an integer number (11780051584).

Almost surely, 2^{1124404082256} is an apocalyptic number.

1124404082256 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 1124404082256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884808253440).

1124404082256 is an abundant number, since it is smaller than the sum of its proper divisors (2645212424624).

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

1124404082256 is a wasteful number, since it uses less digits than its factorization.

1124404082256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23194 (or 23188 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 1124404082256 in words is "one trillion, one hundred twenty-four billion, four hundred four million, eighty-two thousand, two hundred fifty-six".