4315044400 has 120 divisors (see below), whose sum is σ = 10941869120. Its totient is φ = 1630782720.

The previous prime is 4315044389. The next prime is 4315044401. The reversal of 4315044400 is 44405134.

It is a super-3 number, since 3×4315044400³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4315044401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4886359 + ... + 4887241.

Almost surely, 2^4315044400 is an apocalyptic number.

4315044400 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 4315044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470934560).

4315044400 is an abundant number, since it is smaller than the sum of its proper divisors (6626824720).

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

4315044400 is a wasteful number, since it uses less digits than its factorization.

4315044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4315044400 is about 65688.9975566685. The cubic root of 4315044400 is about 1628.0275739021.

Adding to 4315044400 its reverse (44405134), we get a palindrome (4359449534).

The spelling of 4315044400 in words is "four billion, three hundred fifteen million, forty-four thousand, four hundred".