4406767440 has 80 divisors (see below), whose sum is σ = 13729776000. Its totient is φ = 1169220096.

The previous prime is 4406767403. The next prime is 4406767441. The reversal of 4406767440 is 447676044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4406767392 and 4406767401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406767441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626 + ... + 93894.

It is an arithmetic number, because the mean of its divisors is an integer number (171622200).

Almost surely, 2^4406767440 is an apocalyptic number.

4406767440 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 4406767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864888000).

4406767440 is an abundant number, since it is smaller than the sum of its proper divisors (9323008560).

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

4406767440 is a wasteful number, since it uses less digits than its factorization.

4406767440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92484 (or 92478 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 4406767440 is about 66383.4877059047. The cubic root of 4406767440 is about 1639.4822180617.

The spelling of 4406767440 in words is "four billion, four hundred six million, seven hundred sixty-seven thousand, four hundred forty".