5314442304400 has 120 divisors (see below), whose sum is σ = 13544001670824. Its totient is φ = 1997031628800.

The previous prime is 5314442304397. The next prime is 5314442304407. The reversal of 5314442304400 is 44032444135.

It can be written as a sum of positive squares in 12 ways, for example, as 84841708176 + 5229600596224 = 291276^2 + 2286832^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5314442304407) 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, 2956494 + ... + 4401106.

Almost surely, 2^{5314442304400} is an apocalyptic number.

5314442304400 is a gapful number since it is divisible by the number (50) 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 5314442304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772000835412).

5314442304400 is an abundant number, since it is smaller than the sum of its proper divisors (8229559366424).

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

5314442304400 is a wasteful number, since it uses less digits than its factorization.

5314442304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445189 (or 1445178 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 5314442304400 its reverse (44032444135), we get a palindrome (5358474748535).

The spelling of 5314442304400 in words is "five trillion, three hundred fourteen billion, four hundred forty-two million, three hundred four thousand, four hundred".