1109724422400 has 1296 divisors, whose sum is σ = 4611844823040. Its totient is φ = 251599257600.

The previous prime is 1109724422399. The next prime is 1109724422461. The reversal of 1109724422400 is 42244279011.

It is a happy number.

1109724422400 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 7 + 244 + 2 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 2897452609 + ... + 2897452991.

It is an arithmetic number, because the mean of its divisors is an integer number (3558522240).

Almost surely, 2^{1109724422400} is an apocalyptic number.

1109724422400 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 1109724422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305922411520).

1109724422400 is an abundant number, since it is smaller than the sum of its proper divisors (3502120400640).

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

1109724422400 is a wasteful number, since it uses less digits than its factorization.

1109724422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1109724422400 in words is "one trillion, one hundred nine billion, seven hundred twenty-four million, four hundred twenty-two thousand, four hundred".