1009513440 has 144 divisors (see below), whose sum is σ = 3710030688. Its totient is φ = 248491008.

The previous prime is 1009513409. The next prime is 1009513459. The reversal of 1009513440 is 443159001.

1009513440 is a `hidden beast` number, since 100 + 9 + 513 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8244 + ... + 45683.

It is an arithmetic number, because the mean of its divisors is an integer number (25764102).

Almost surely, 2^1009513440 is an apocalyptic number.

1009513440 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 1009513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855015344).

1009513440 is an abundant number, since it is smaller than the sum of its proper divisors (2700517248).

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

1009513440 is a wasteful number, since it uses less digits than its factorization.

1009513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53961 (or 53950 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1009513440 is about 31772.8412327258. The cubic root of 1009513440 is about 1003.1611433101.

The spelling of 1009513440 in words is "one billion, nine million, five hundred thirteen thousand, four hundred forty".