1109733958400 has 108 divisors (see below), whose sum is σ = 2747647936152. Its totient is φ = 443750891520.

The previous prime is 1109733958381. The next prime is 1109733958457. The reversal of 1109733958400 is 48593379011.

It is a super-2 number, since 2×1109733958400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21138584 + ... + 21191016.

It is an arithmetic number, because the mean of its divisors is an integer number (25441184594).

Almost surely, 2^{1109733958400} is an apocalyptic number.

1109733958400 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 1109733958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373823968076).

1109733958400 is an abundant number, since it is smaller than the sum of its proper divisors (1637913977752).

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

1109733958400 is an equidigital number, since it uses as much as digits as its factorization.

1109733958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55766 (or 55747 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 1109733958400 in words is "one trillion, one hundred nine billion, seven hundred thirty-three million, nine hundred fifty-eight thousand, four hundred".