4531134400 has 168 divisors, whose sum is σ = 12084070320. Its totient is φ = 1662320640.

The previous prime is 4531134397. The next prime is 4531134401. The reversal of 4531134400 is 44311354.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4531134401) 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, 3722592 + ... + 3723808.

It is an arithmetic number, because the mean of its divisors is an integer number (71928990).

Almost surely, 2^4531134400 is an apocalyptic number.

4531134400 is a gapful number since it is divisible by the number (40) 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 4531134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042035160).

4531134400 is an abundant number, since it is smaller than the sum of its proper divisors (7552935920).

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

4531134400 is a wasteful number, since it uses less digits than its factorization.

4531134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4531134400 is about 67313.7014284611. The cubic root of 4531134400 is about 1654.7624148198.

Adding to 4531134400 its reverse (44311354), we get a palindrome (4575445754).

The spelling of 4531134400 in words is "four billion, five hundred thirty-one million, one hundred thirty-four thousand, four hundred".