4406326560 has 192 divisors, whose sum is σ = 16329600000. Its totient is φ = 1105883136.

The previous prime is 4406326553. The next prime is 4406326567. The reversal of 4406326560 is 656236044.

It is an interprime number because it is at equal distance from previous prime (4406326553) and next prime (4406326567).

It is a super-2 number, since 2×4406326560² = 38831427506722867200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4406326567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43441 + ... + 103439.

It is an arithmetic number, because the mean of its divisors is an integer number (85050000).

Almost surely, 2^4406326560 is an apocalyptic number.

4406326560 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 4406326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800000).

4406326560 is an abundant number, since it is smaller than the sum of its proper divisors (11923273440).

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

4406326560 is a wasteful number, since it uses less digits than its factorization.

4406326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60040 (or 60026 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4406326560 is about 66380.1669175364. The cubic root of 4406326560 is about 1639.4275416247.

The spelling of 4406326560 in words is "four billion, four hundred six million, three hundred twenty-six thousand, five hundred sixty".