4406307840 has 264 divisors, whose sum is σ = 16657634448. Its totient is φ = 1068072960.

The previous prime is 4406307817. The next prime is 4406307883. The reversal of 4406307840 is 487036044.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4406307795 and 4406307804.

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 23 ways as a sum of consecutive naturals, for example, 502534 + ... + 511226.

Almost surely, 2^4406307840 is an apocalyptic number.

4406307840 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 4406307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328817224).

4406307840 is an abundant number, since it is smaller than the sum of its proper divisors (12251326608).

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

4406307840 is a wasteful number, since it uses less digits than its factorization.

4406307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4406307840 is about 66380.0259114140. The cubic root of 4406307840 is about 1639.4252199533.

The spelling of 4406307840 in words is "four billion, four hundred six million, three hundred seven thousand, eight hundred forty".