1306449235440 has 160 divisors (see below), whose sum is σ = 4567156373760. Its totient is φ = 343186626816.

The previous prime is 1306449235417. The next prime is 1306449235451. The reversal of 1306449235440 is 445329446031.

1306449235440 is a `hidden beast` number, since 1 + 3 + 0 + 64 + 49 + 2 + 3 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4368994 + ... + 4658433.

It is an arithmetic number, because the mean of its divisors is an integer number (28544727336).

Almost surely, 2^{1306449235440} is an apocalyptic number.

1306449235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306449235440 is an abundant number, since it is smaller than the sum of its proper divisors (3260707138320).

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

1306449235440 is a wasteful number, since it uses less digits than its factorization.

1306449235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027516 (or 9027504 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 1306449235440 in words is "one trillion, three hundred six billion, four hundred forty-nine million, two hundred thirty-five thousand, four hundred forty".