1123740441600 has 1056 divisors, whose sum is σ = 4483617792000. Its totient is φ = 247829299200.

The previous prime is 1123740441583. The next prime is 1123740441631. The reversal of 1123740441600 is 61440473211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763928865 + ... + 763930335.

Almost surely, 2^{1123740441600} is an apocalyptic number.

1123740441600 is a gapful number since it is divisible by the number (10) 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 1123740441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241808896000).

1123740441600 is an abundant number, since it is smaller than the sum of its proper divisors (3359877350400).

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

1123740441600 is a wasteful number, since it uses less digits than its factorization.

1123740441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 1123740441600 in words is "one trillion, one hundred twenty-three billion, seven hundred forty million, four hundred forty-one thousand, six hundred".