5431434400 has 216 divisors, whose sum is σ = 15560004096. Its totient is φ = 1845849600.

The previous prime is 5431434377. The next prime is 5431434439. The reversal of 5431434400 is 44341345.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4977855 + ... + 4978945.

It is an arithmetic number, because the mean of its divisors is an integer number (72037056).

Almost surely, 2^5431434400 is an apocalyptic number.

5431434400 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 5431434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780002048).

5431434400 is an abundant number, since it is smaller than the sum of its proper divisors (10128569696).

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

5431434400 is a wasteful number, since it uses less digits than its factorization.

5431434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 5431434400 is about 73698.2659226118. The cubic root of 5431434400 is about 1757.8083083660.

Adding to 5431434400 its reverse (44341345), we get a palindrome (5475775745).

The spelling of 5431434400 in words is "five billion, four hundred thirty-one million, four hundred thirty-four thousand, four hundred".