5405210400 has 288 divisors, whose sum is σ = 18187460928. Its totient is φ = 1393459200.

The previous prime is 5405210399. The next prime is 5405210417. The reversal of 5405210400 is 40125045.

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, 16039032 + ... + 16039368.

It is an arithmetic number, because the mean of its divisors is an integer number (63150906).

Almost surely, 2^5405210400 is an apocalyptic number.

5405210400 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 5405210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9093730464).

5405210400 is an abundant number, since it is smaller than the sum of its proper divisors (12782250528).

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

5405210400 is a wasteful number, since it uses less digits than its factorization.

5405210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5405210400 is about 73520.1360172844. The cubic root of 5405210400 is about 1754.9747319842.

Adding to 5405210400 its reverse (40125045), we get a palindrome (5445335445).

The spelling of 5405210400 in words is "five billion, four hundred five million, two hundred ten thousand, four hundred".