1305966436104 has 64 divisors (see below), whose sum is σ = 3562524368640. Its totient is φ = 395658768960.

The previous prime is 1305966436069. The next prime is 1305966436121. The reversal of 1305966436104 is 4016346695031.

It is a super-2 number, since 2×1305966436104² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 631779 + ... + 1735245.

It is an arithmetic number, because the mean of its divisors is an integer number (55664443260).

Almost surely, 2^{1305966436104} is an apocalyptic number.

It is an amenable number.

1305966436104 is an abundant number, since it is smaller than the sum of its proper divisors (2256557932536).

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

1305966436104 is a wasteful number, since it uses less digits than its factorization.

1305966436104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107970 (or 1107966 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 1305966436104 in words is "one trillion, three hundred five billion, nine hundred sixty-six million, four hundred thirty-six thousand, one hundred four".