1304411019264 has 480 divisors, whose sum is σ = 4023641381760. Its totient is φ = 420713201664.

The previous prime is 1304411019199. The next prime is 1304411019293. The reversal of 1304411019264 is 4629101144031.

1304411019264 is a `hidden beast` number, since 13 + 0 + 441 + 10 + 192 + 6 + 4 = 666.

It is a super-3 number, since 3×1304411019264³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1368741412 + ... + 1368742364.

It is an arithmetic number, because the mean of its divisors is an integer number (8382586212).

Almost surely, 2^{1304411019264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304411019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011820690880).

1304411019264 is an abundant number, since it is smaller than the sum of its proper divisors (2719230362496).

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

1304411019264 is an equidigital number, since it uses as much as digits as its factorization.

1304411019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1304411019264 in words is "one trillion, three hundred four billion, four hundred eleven million, nineteen thousand, two hundred sixty-four".