1304425444400 has 120 divisors (see below), whose sum is σ = 3380889025920. Its totient is φ = 480786462720.

The previous prime is 1304425444331. The next prime is 1304425444403. The reversal of 1304425444400 is 44445244031.

It is not an unprimeable number, because it can be changed into a prime (1304425444403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2738369 + ... + 3179231.

It is an arithmetic number, because the mean of its divisors is an integer number (28174075216).

Almost surely, 2^{1304425444400} is an apocalyptic number.

1304425444400 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 1304425444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690444512960).

1304425444400 is an abundant number, since it is smaller than the sum of its proper divisors (2076463581520).

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

1304425444400 is a wasteful number, since it uses less digits than its factorization.

1304425444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441463 (or 441452 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The spelling of 1304425444400 in words is "one trillion, three hundred four billion, four hundred twenty-five million, four hundred forty-four thousand, four hundred".