1312295040 has 512 divisors, whose sum is σ = 5601024000. Its totient is φ = 283668480.

The previous prime is 1312294993. The next prime is 1312295041. The reversal of 1312295040 is 405922131.

1312295040 is a `hidden beast` number, since 131 + 2 + 29 + 504 + 0 = 666.

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 = 1312294995 and 1312295013.

It is not an unprimeable number, because it can be changed into a prime (1312295041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2297955 + ... + 2298525.

It is an arithmetic number, because the mean of its divisors is an integer number (10939500).

Almost surely, 2^1312295040 is an apocalyptic number.

1312295040 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 1312295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800512000).

1312295040 is an abundant number, since it is smaller than the sum of its proper divisors (4288728960).

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

1312295040 is a wasteful number, since it uses less digits than its factorization.

1312295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1312295040 is about 36225.6130382910. The cubic root of 1312295040 is about 1094.8227898627.

The spelling of 1312295040 in words is "one billion, three hundred twelve million, two hundred ninety-five thousand, forty".