1304521938720 has 1344 divisors, whose sum is σ = 6204687277824. Its totient is φ = 250195599360.

The previous prime is 1304521938667. The next prime is 1304521938751. The reversal of 1304521938720 is 278391254031.

It is a happy number.

1304521938720 is a `hidden beast` number, since 1 + 3 + 0 + 452 + 193 + 8 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 116751054 + ... + 116762226.

It is an arithmetic number, because the mean of its divisors is an integer number (4616582796).

Almost surely, 2^{1304521938720} is an apocalyptic number.

1304521938720 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 1304521938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102343638912).

1304521938720 is an abundant number, since it is smaller than the sum of its proper divisors (4900165339104).

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

1304521938720 is a wasteful number, since it uses less digits than its factorization.

1304521938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1304521938720 in words is "one trillion, three hundred four billion, five hundred twenty-one million, nine hundred thirty-eight thousand, seven hundred twenty".