1305899994240 has 768 divisors, whose sum is σ = 4848083435520. Its totient is φ = 322762309632.

The previous prime is 1305899994233. The next prime is 1305899994313. The reversal of 1305899994240 is 424999985031.

1305899994240 is a `hidden beast` number, since 1 + 3 + 0 + 589 + 9 + 9 + 9 + 4 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2151400017 + ... + 2151400623.

It is an arithmetic number, because the mean of its divisors is an integer number (6312608640).

Almost surely, 2^{1305899994240} is an apocalyptic number.

1305899994240 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 1305899994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424041717760).

1305899994240 is an abundant number, since it is smaller than the sum of its proper divisors (3542183441280).

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

1305899994240 is a wasteful number, since it uses less digits than its factorization.

1305899994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1305899994240 in words is "one trillion, three hundred five billion, eight hundred ninety-nine million, nine hundred ninety-four thousand, two hundred forty".