1315418880 has 144 divisors (see below), whose sum is σ = 4215627360. Its totient is φ = 349569024.

The previous prime is 1315418879. The next prime is 1315418899. The reversal of 1315418880 is 888145131.

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, 1954224 + ... + 1954896.

It is an arithmetic number, because the mean of its divisors is an integer number (29275190).

Almost surely, 2^1315418880 is an apocalyptic number.

1315418880 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 1315418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107813680).

1315418880 is an abundant number, since it is smaller than the sum of its proper divisors (2900208480).

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

1315418880 is an equidigital number, since it uses as much as digits as its factorization.

1315418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1315418880 is about 36268.7038643511. The cubic root of 1315418880 is about 1095.6908215579.

The spelling of 1315418880 in words is "one billion, three hundred fifteen million, four hundred eighteen thousand, eight hundred eighty".