1099837440 has 624 divisors, whose sum is σ = 4508064288. Its totient is φ = 254803968.

The previous prime is 1099837433. The next prime is 1099837493. The reversal of 1099837440 is 447389901.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64696312 + ... + 64696328.

It is an arithmetic number, because the mean of its divisors is an integer number (7224462).

Almost surely, 2^1099837440 is an apocalyptic number.

1099837440 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 1099837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254032144).

1099837440 is an abundant number, since it is smaller than the sum of its proper divisors (3408226848).

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

1099837440 is an equidigital number, since it uses as much as digits as its factorization.

1099837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1099837440 is about 33163.7971287969. The cubic root of 1099837440 is about 1032.2292622071.

The spelling of 1099837440 in words is "one billion, ninety-nine million, eight hundred thirty-seven thousand, four hundred forty".