5410304400 has 240 divisors, whose sum is σ = 18520761024. Its totient is φ = 1345290240.

The previous prime is 5410304353. The next prime is 5410304429. The reversal of 5410304400 is 44030145.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2304027 + ... + 2306373.

Almost surely, 2^5410304400 is an apocalyptic number.

5410304400 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 5410304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260380512).

5410304400 is an abundant number, since it is smaller than the sum of its proper divisors (13110456624).

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

5410304400 is a wasteful number, since it uses less digits than its factorization.

5410304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5410304400 is about 73554.7714291874. The cubic root of 5410304400 is about 1755.5258689871.

Adding to 5410304400 its reverse (44030145), we get a palindrome (5454334545).

The spelling of 5410304400 in words is "five billion, four hundred ten million, three hundred four thousand, four hundred".