4406731840 has 224 divisors, whose sum is σ = 13111179264. Its totient is φ = 1375764480.

The previous prime is 4406731837. The next prime is 4406731853. The reversal of 4406731840 is 481376044.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4406731840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178614 + ... + 1182346.

Almost surely, 2^4406731840 is an apocalyptic number.

4406731840 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 4406731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555589632).

4406731840 is an abundant number, since it is smaller than the sum of its proper divisors (8704447424).

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

4406731840 is a wasteful number, since it uses less digits than its factorization.

4406731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 4406731840 is about 66383.2195663934. The cubic root of 4406731840 is about 1639.4778032062.

The spelling of 4406731840 in words is "four billion, four hundred six million, seven hundred thirty-one thousand, eight hundred forty".