1305641000040 has 128 divisors (see below), whose sum is σ = 4321108512000. Its totient is φ = 313549793280.

The previous prime is 1305641000033. The next prime is 1305641000047. The reversal of 1305641000040 is 400001465031.

It is an interprime number because it is at equal distance from previous prime (1305641000033) and next prime (1305641000047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1305641000047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10142740 + ... + 10270659.

It is an arithmetic number, because the mean of its divisors is an integer number (33758660250).

Almost surely, 2^{1305641000040} is an apocalyptic number.

1305641000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305641000040 is an abundant number, since it is smaller than the sum of its proper divisors (3015467511960).

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

1305641000040 is a wasteful number, since it uses less digits than its factorization.

1305641000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20413467 (or 20413463 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1305641000040 its reverse (400001465031), we get a palindrome (1705642465071).

The spelling of 1305641000040 in words is "one trillion, three hundred five billion, six hundred forty-one million, forty", and thus it is an aban number.