1305315215040 has 112 divisors (see below), whose sum is σ = 4181052047328. Its totient is φ = 345003638784.

The previous prime is 1305315215033. The next prime is 1305315215041. The reversal of 1305315215040 is 405125135031.

It is a super-2 number, since 2×1305315215040² (a number of 25 digits) contains 22 as substring.

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 = 1305315214989 and 1305315215007.

It is not an unprimeable number, because it can be changed into a prime (1305315215041) 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, 5907907 + ... + 6124866.

Almost surely, 2^{1305315215040} is an apocalyptic number.

1305315215040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305315215040 is an abundant number, since it is smaller than the sum of its proper divisors (2875736832288).

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

1305315215040 is a wasteful number, since it uses less digits than its factorization.

1305315215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032906 (or 12032896 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1305315215040 in words is "one trillion, three hundred five billion, three hundred fifteen million, two hundred fifteen thousand, forty".