1304125557504 has 576 divisors, whose sum is σ = 4457228160000. Its totient is φ = 335544975360.

The previous prime is 1304125557487. The next prime is 1304125557517. The reversal of 1304125557504 is 4057555214031.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 315843312 + ... + 315847440.

Almost surely, 2^{1304125557504} is an apocalyptic number.

1304125557504 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 1304125557504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228614080000).

1304125557504 is an abundant number, since it is smaller than the sum of its proper divisors (3153102602496).

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

1304125557504 is a wasteful number, since it uses less digits than its factorization.

1304125557504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 1304125557504 in words is "one trillion, three hundred four billion, one hundred twenty-five million, five hundred fifty-seven thousand, five hundred four".