1305104550240 has 96 divisors (see below), whose sum is σ = 4198549178880. Its totient is φ = 340623025664.

The previous prime is 1305104550229. The next prime is 1305104550251. The reversal of 1305104550240 is 420554015031.

It is an interprime number because it is at equal distance from previous prime (1305104550229) and next prime (1305104550251).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1305104550198 and 1305104550207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28902630 + ... + 28947749.

It is an arithmetic number, because the mean of its divisors is an integer number (43734887280).

Almost surely, 2^{1305104550240} is an apocalyptic number.

1305104550240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305104550240 is an abundant number, since it is smaller than the sum of its proper divisors (2893444628640).

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

1305104550240 is a wasteful number, since it uses less digits than its factorization.

1305104550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57850444 (or 57850436 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1305104550240 its reverse (420554015031), we get a palindrome (1725658565271).

The spelling of 1305104550240 in words is "one trillion, three hundred five billion, one hundred four million, five hundred fifty thousand, two hundred forty".