1304400224232 has 160 divisors (see below), whose sum is σ = 4187499117120. Its totient is φ = 371611307520.

The previous prime is 1304400224143. The next prime is 1304400224273. The reversal of 1304400224232 is 2324220044031.

1304400224232 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 400 + 2 + 24 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1304400224196 and 1304400224205.

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, 1159632 + ... + 1988352.

It is an arithmetic number, because the mean of its divisors is an integer number (26171869482).

Almost surely, 2^{1304400224232} is an apocalyptic number.

1304400224232 is a gapful number since it is divisible by the number (12) 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 1304400224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093749558560).

1304400224232 is an abundant number, since it is smaller than the sum of its proper divisors (2883098892888).

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

1304400224232 is a wasteful number, since it uses less digits than its factorization.

1304400224232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829093 (or 829080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1304400224232 its reverse (2324220044031), we get a palindrome (3628620268263).

The spelling of 1304400224232 in words is "one trillion, three hundred four billion, four hundred million, two hundred twenty-four thousand, two hundred thirty-two".