1307003699904 has 756 divisors, whose sum is σ = 4358770250184. Its totient is φ = 344566849536.

The previous prime is 1307003699899. The next prime is 1307003699909. The reversal of 1307003699904 is 4099963007031.

It is an interprime number because it is at equal distance from previous prime (1307003699899) and next prime (1307003699909).

It is not an unprimeable number, because it can be changed into a prime (1307003699909) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 9540172924 + ... + 9540173060.

It is an arithmetic number, because the mean of its divisors is an integer number (5765569114).

Almost surely, 2^{1307003699904} is an apocalyptic number.

1307003699904 is a gapful number since it is divisible by the number (14) 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 1307003699904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179385125092).

1307003699904 is an abundant number, since it is smaller than the sum of its proper divisors (3051766550280).

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

1307003699904 is a wasteful number, since it uses less digits than its factorization.

1307003699904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The spelling of 1307003699904 in words is "one trillion, three hundred seven billion, three million, six hundred ninety-nine thousand, nine hundred four".