4444407040 has 72 divisors (see below), whose sum is σ = 11206107360. Its totient is φ = 1684187136.

The previous prime is 4444407031. The next prime is 4444407041. The reversal of 4444407040 is 407044444.

It is a junction number, because it is equal to n+sod(n) for n = 4444406993 and 4444407011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444407041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67054 + ... + 115693.

It is an arithmetic number, because the mean of its divisors is an integer number (155640380).

Almost surely, 2^4444407040 is an apocalyptic number.

4444407040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444407040 is an abundant number, since it is smaller than the sum of its proper divisors (6761700320).

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

4444407040 is a wasteful number, since it uses less digits than its factorization.

4444407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182787 (or 182773 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 31.

The square root of 4444407040 is about 66666.3861327431. The cubic root of 4444407040 is about 1644.1367705094.

The spelling of 4444407040 in words is "four billion, four hundred forty-four million, four hundred seven thousand, forty".