4426526880 has 288 divisors, whose sum is σ = 15761438784. Its totient is φ = 1173159936.

The previous prime is 4426526869. The next prime is 4426526903. The reversal of 4426526880 is 886256244.

4426526880 is a `hidden beast` number, since 4 + 42 + 6 + 526 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9991939 + ... + 9992381.

It is an arithmetic number, because the mean of its divisors is an integer number (54727218).

Almost surely, 2^4426526880 is an apocalyptic number.

4426526880 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 4426526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880719392).

4426526880 is an abundant number, since it is smaller than the sum of its proper divisors (11334911904).

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

4426526880 is a wasteful number, since it uses less digits than its factorization.

4426526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4426526880 is about 66532.1492212599. The cubic root of 4426526880 is about 1641.9289814659.

The spelling of 4426526880 in words is "four billion, four hundred twenty-six million, five hundred twenty-six thousand, eight hundred eighty".