1090045440 has 720 divisors, whose sum is σ = 4584644064. Its totient is φ = 237895680.

The previous prime is 1090045433. The next prime is 1090045459. The reversal of 1090045440 is 445400901.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1090045440² = 2376398122529587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47393269 + ... + 47393291.

Almost surely, 2^1090045440 is an apocalyptic number.

1090045440 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 1090045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1090045440 is an abundant number, since it is smaller than the sum of its proper divisors (3494598624).

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

1090045440 is a wasteful number, since it uses less digits than its factorization.

1090045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1090045440 is about 33015.8362002237. The cubic root of 1090045440 is about 1029.1567673617.

The spelling of 1090045440 in words is "one billion, ninety million, forty-five thousand, four hundred forty".