4531010400 has 540 divisors, whose sum is σ = 19234932948. Its totient is φ = 1034933760.

The previous prime is 4531010387. The next prime is 4531010401. The reversal of 4531010400 is 40101354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4531010401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3174487 + ... + 3175913.

Almost surely, 2^4531010400 is an apocalyptic number.

4531010400 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 4531010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9617466474).

4531010400 is an abundant number, since it is smaller than the sum of its proper divisors (14703922548).

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

4531010400 is a wasteful number, since it uses less digits than its factorization.

4531010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4531010400 is about 67312.7803615331. The cubic root of 4531010400 is about 1654.7473198205.

Adding to 4531010400 its reverse (40101354), we get a palindrome (4571111754).

The spelling of 4531010400 in words is "four billion, five hundred thirty-one million, ten thousand, four hundred".