1315195259040 has 384 divisors, whose sum is σ = 4959936737280. Its totient is φ = 323566534656.

The previous prime is 1315195259029. The next prime is 1315195259101. The reversal of 1315195259040 is 409525915131.

1315195259040 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 9 + 52 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127646529 + ... + 127656831.

It is an arithmetic number, because the mean of its divisors is an integer number (12916501920).

Almost surely, 2^{1315195259040} is an apocalyptic number.

1315195259040 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 1315195259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479968368640).

1315195259040 is an abundant number, since it is smaller than the sum of its proper divisors (3644741478240).

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

1315195259040 is a wasteful number, since it uses less digits than its factorization.

1315195259040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 1315195259040 in words is "one trillion, three hundred fifteen billion, one hundred ninety-five million, two hundred fifty-nine thousand, forty".