1315435440 has 80 divisors (see below), whose sum is σ = 4448572416. Its totient is φ = 318892800.

The previous prime is 1315435439. The next prime is 1315435441. The reversal of 1315435440 is 445345131.

It is an interprime number because it is at equal distance from previous prime (1315435439) and next prime (1315435441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1315435398 and 1315435407.

It is not an unprimeable number, because it can be changed into a prime (1315435441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246496 + ... + 251775.

Almost surely, 2^1315435440 is an apocalyptic number.

1315435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315435440 is an abundant number, since it is smaller than the sum of its proper divisors (3133136976).

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

1315435440 is a wasteful number, since it uses less digits than its factorization.

1315435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498298 (or 498292 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1315435440 is about 36268.9321596322. The cubic root of 1315435440 is about 1095.6954194757.

The spelling of 1315435440 in words is "one billion, three hundred fifteen million, four hundred thirty-five thousand, four hundred forty".