4431040400 has 30 divisors (see below), whose sum is σ = 10645575522. Its totient is φ = 1772416000.

The previous prime is 4431040391. The next prime is 4431040403. The reversal of 4431040400 is 40401344.

It can be written as a sum of positive squares in 3 ways, for example, as 191988736 + 4239051664 = 13856^2 + 65108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4431040403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5538401 + ... + 5539200.

Almost surely, 2^4431040400 is an apocalyptic number.

4431040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431040400 is an abundant number, since it is smaller than the sum of its proper divisors (6214535122).

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

4431040400 is a wasteful number, since it uses less digits than its factorization.

4431040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077619 (or 11077608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4431040400 is about 66566.0604212086. The cubic root of 4431040400 is about 1642.4868576581.

Adding to 4431040400 its reverse (40401344), we get a palindrome (4471441744).

The spelling of 4431040400 in words is "four billion, four hundred thirty-one million, forty thousand, four hundred".