4406724000 has 960 divisors, whose sum is σ = 19407548160. Its totient is φ = 958003200.

The previous prime is 4406723977. The next prime is 4406724001. The reversal of 4406724000 is 4276044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4406724001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65771967 + ... + 65772033.

It is an arithmetic number, because the mean of its divisors is an integer number (20216196).

Almost surely, 2^4406724000 is an apocalyptic number.

4406724000 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 4406724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9703774080).

4406724000 is an abundant number, since it is smaller than the sum of its proper divisors (15000824160).

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

4406724000 is a wasteful number, since it uses less digits than its factorization.

4406724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4406724000 is about 66383.1605152994. The cubic root of 4406724000 is about 1639.4768309427.

The spelling of 4406724000 in words is "four billion, four hundred six million, seven hundred twenty-four thousand".