5333410400 has 144 divisors (see below), whose sum is σ = 13401267264. Its totient is φ = 2071534080.

The previous prime is 5333410321. The next prime is 5333410403. The reversal of 5333410400 is 40143335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5333410403) 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, 7808459 + ... + 7809141.

It is an arithmetic number, because the mean of its divisors is an integer number (93064356).

Almost surely, 2^5333410400 is an apocalyptic number.

5333410400 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 5333410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700633632).

5333410400 is an abundant number, since it is smaller than the sum of its proper divisors (8067856864).

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

5333410400 is a wasteful number, since it uses less digits than its factorization.

5333410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 5333410400 is about 73030.2019715131. The cubic root of 5333410400 is about 1747.1693449239.

Adding to 5333410400 its reverse (40143335), we get a palindrome (5373553735).

The spelling of 5333410400 in words is "five billion, three hundred thirty-three million, four hundred ten thousand, four hundred".