1304939678400 has 420 divisors, whose sum is σ = 4854460747752. Its totient is φ = 343788503040.

The previous prime is 1304939678389. The next prime is 1304939678407. The reversal of 1304939678400 is 48769394031.

It is a happy number.

1304939678400 is a `hidden beast` number, since 13 + 0 + 493 + 9 + 67 + 84 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1304939678407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10696144 + ... + 10817456.

Almost surely, 2^{1304939678400} is an apocalyptic number.

1304939678400 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 1304939678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427230373876).

1304939678400 is an abundant number, since it is smaller than the sum of its proper divisors (3549521069352).

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

1304939678400 is a wasteful number, since it uses less digits than its factorization.

1304939678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121430 (or 121406 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1304939678400 in words is "one trillion, three hundred four billion, nine hundred thirty-nine million, six hundred seventy-eight thousand, four hundred".