1004431032400 has 120 divisors (see below), whose sum is σ = 2445761106360. Its totient is φ = 396373893120.

The previous prime is 1004431032343. The next prime is 1004431032421. The reversal of 1004431032400 is 42301344001.

It can be written as a sum of positive squares in 12 ways, for example, as 165206479936 + 839224552464 = 406456^2 + 916092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10109364 + ... + 10208236.

It is an arithmetic number, because the mean of its divisors is an integer number (20381342553).

Almost surely, 2^{1004431032400} is an apocalyptic number.

1004431032400 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 1004431032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222880553180).

1004431032400 is an abundant number, since it is smaller than the sum of its proper divisors (1441330073960).

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

1004431032400 is a wasteful number, since it uses less digits than its factorization.

1004431032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99233 (or 99222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1004431032400 its reverse (42301344001), we get a palindrome (1046732376401).

The spelling of 1004431032400 in words is "one trillion, four billion, four hundred thirty-one million, thirty-two thousand, four hundred".