1013107440 has 40 divisors (see below), whose sum is σ = 3140633808. Its totient is φ = 270161920.

The previous prime is 1013107423. The next prime is 1013107481. The reversal of 1013107440 is 447013101.

1013107440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×1013107440⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2110401 + ... + 2110880.

Almost surely, 2^1013107440 is an apocalyptic number.

1013107440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013107440 is an abundant number, since it is smaller than the sum of its proper divisors (2127526368).

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

1013107440 is a wasteful number, since it uses less digits than its factorization.

1013107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221297 (or 4221291 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1013107440 is about 31829.3487209525. The cubic root of 1013107440 is about 1004.3501950286.

The spelling of 1013107440 in words is "one billion, thirteen million, one hundred seven thousand, four hundred forty".