4431241400 has 48 divisors (see below), whose sum is σ = 10356108000. Its totient is φ = 1763297280.

The previous prime is 4431241391. The next prime is 4431241429. The reversal of 4431241400 is 41421344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18800 + ... + 95999.

It is an arithmetic number, because the mean of its divisors is an integer number (215752250).

Almost surely, 2^4431241400 is an apocalyptic number.

4431241400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431241400 is an abundant number, since it is smaller than the sum of its proper divisors (5924866600).

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

4431241400 is a wasteful number, since it uses less digits than its factorization.

4431241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115008 (or 114999 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4431241400 is about 66567.5701824845. The cubic root of 4431241400 is about 1642.5116926733.

Adding to 4431241400 its reverse (41421344), we get a palindrome (4472662744).

The spelling of 4431241400 in words is "four billion, four hundred thirty-one million, two hundred forty-one thousand, four hundred".