1005109440 has 112 divisors (see below), whose sum is σ = 3277587552. Its totient is φ = 260775936.

The previous prime is 1005109439. The next prime is 1005109451. The reversal of 1005109440 is 449015001.

It is a super-2 number, since 2×1005109440² = 2020489972754227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1005109440.

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 15 ways as a sum of consecutive naturals, for example, 21372 + ... + 49668.

Almost surely, 2^1005109440 is an apocalyptic number.

1005109440 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 1005109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638793776).

1005109440 is an abundant number, since it is smaller than the sum of its proper divisors (2272478112).

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

1005109440 is a wasteful number, since it uses less digits than its factorization.

1005109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28354 (or 28344 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1005109440 is about 31703.4610098014. The cubic root of 1005109440 is about 1001.7002541640.

The spelling of 1005109440 in words is "one billion, five million, one hundred nine thousand, four hundred forty".