1302730744896 has 1512 divisors, whose sum is σ = 5016185381376. Its totient is φ = 327323566080.

The previous prime is 1302730744877. The next prime is 1302730744901. The reversal of 1302730744896 is 6984470372031.

1302730744896 is a `hidden beast` number, since 130 + 27 + 3 + 0 + 7 + 4 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 42023572401 + ... + 42023572431.

Almost surely, 2^{1302730744896} is an apocalyptic number.

1302730744896 is a gapful number since it is divisible by the number (16) 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 1302730744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508092690688).

1302730744896 is an abundant number, since it is smaller than the sum of its proper divisors (3713454636480).

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

1302730744896 is an frugal number, since it uses more digits than its factorization.

1302730744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1302730744896 in words is "one trillion, three hundred two billion, seven hundred thirty million, seven hundred forty-four thousand, eight hundred ninety-six".