1312640000 has 220 divisors, whose sum is σ = 3760158864. Its totient is φ = 448512000.

The previous prime is 1312639997. The next prime is 1312640003. The reversal of 1312640000 is 462131.

It is an interprime number because it is at equal distance from previous prime (1312639997) and next prime (1312640003).

It is not an unprimeable number, because it can be changed into a prime (1312640003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4479854 + ... + 4480146.

Almost surely, 2^1312640000 is an apocalyptic number.

1312640000 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 1312640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880079432).

1312640000 is an abundant number, since it is smaller than the sum of its proper divisors (2447518864).

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

1312640000 is an frugal number, since it uses more digits than its factorization.

1312640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1312640000 is about 36230.3739975176. The cubic root of 1312640000 is about 1094.9187126469.

The spelling of 1312640000 in words is "one billion, three hundred twelve million, six hundred forty thousand".