4440400440 has 64 divisors (see below), whose sum is σ = 15224232960. Its totient is φ = 1014948480.

The previous prime is 4440400429. The next prime is 4440400499. The reversal of 4440400440 is 440040444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4440400440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2642256 + ... + 2643935.

It is an arithmetic number, because the mean of its divisors is an integer number (237878640).

Almost surely, 2^4440400440 is an apocalyptic number.

4440400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440400440 is an abundant number, since it is smaller than the sum of its proper divisors (10783832520).

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

4440400440 is a wasteful number, since it uses less digits than its factorization.

4440400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286212 (or 5286208 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4440400440 is about 66636.3297308608. The cubic root of 4440400440 is about 1643.6425629346.

Adding to 4440400440 its reverse (440040444), we get a palindrome (4880440884).

The spelling of 4440400440 in words is "four billion, four hundred forty million, four hundred thousand, four hundred forty".