1304400033200 has 120 divisors (see below), whose sum is σ = 3421809405360. Its totient is φ = 473897804800.

The previous prime is 1304400033173. The next prime is 1304400033203. The reversal of 1304400033200 is 23300044031.

It is a super-2 number, since 2×1304400033200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1304400033203) 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, 4745942 + ... + 5013258.

It is an arithmetic number, because the mean of its divisors is an integer number (28515078378).

Almost surely, 2^{1304400033200} is an apocalyptic number.

1304400033200 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 1304400033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710904702680).

1304400033200 is an abundant number, since it is smaller than the sum of its proper divisors (2117409372160).

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

1304400033200 is a wasteful number, since it uses less digits than its factorization.

1304400033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268455 (or 268444 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1304400033200 its reverse (23300044031), we get a palindrome (1327700077231).

The spelling of 1304400033200 in words is "one trillion, three hundred four billion, four hundred million, thirty-three thousand, two hundred".