1309271040 has 880 divisors, whose sum is σ = 5992043904. Its totient is φ = 265420800.

The previous prime is 1309271023. The next prime is 1309271077. The reversal of 1309271040 is 401729031.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1309270995 and 1309271013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933420 + ... + 31933460.

Almost surely, 2^1309271040 is an apocalyptic number.

1309271040 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 1309271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996021952).

1309271040 is an abundant number, since it is smaller than the sum of its proper divisors (4682772864).

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

1309271040 is a wasteful number, since it uses less digits than its factorization.

1309271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1309271040 is about 36183.8505413672. The cubic root of 1309271040 is about 1093.9811878538.

The spelling of 1309271040 in words is "one billion, three hundred nine million, two hundred seventy-one thousand, forty".