1090944400 has 480 divisors, whose sum is σ = 3580270848. Its totient is φ = 309657600.

The previous prime is 1090944391. The next prime is 1090944431. The reversal of 1090944400 is 44490901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25370779 + ... + 25370821.

Almost surely, 2^1090944400 is an apocalyptic number.

1090944400 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 1090944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790135424).

1090944400 is an abundant number, since it is smaller than the sum of its proper divisors (2489326448).

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

1090944400 is a wasteful number, since it uses less digits than its factorization.

1090944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1090944400 is about 33029.4474673737. The cubic root of 1090944400 is about 1029.4396046700.

The spelling of 1090944400 in words is "one billion, ninety million, nine hundred forty-four thousand, four hundred".