1307725440 has 128 divisors (see below), whose sum is σ = 4763905920. Its totient is φ = 298905600.

The previous prime is 1307725427. The next prime is 1307725453. The reversal of 1307725440 is 445277031.

It is an interprime number because it is at equal distance from previous prime (1307725427) and next prime (1307725453).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35211 + ... + 62090.

It is an arithmetic number, because the mean of its divisors is an integer number (37218015).

Almost surely, 2^1307725440 is an apocalyptic number.

1307725440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307725440 is an abundant number, since it is smaller than the sum of its proper divisors (3456180480).

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

1307725440 is an equidigital number, since it uses as much as digits as its factorization.

1307725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97330 (or 97318 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 1307725440 is about 36162.4866401634. The cubic root of 1307725440 is about 1093.5505352072.

The spelling of 1307725440 in words is "one billion, three hundred seven million, seven hundred twenty-five thousand, four hundred forty".