4396826880 has 576 divisors, whose sum is σ = 16688851200. Its totient is φ = 1094123520.

The previous prime is 4396826867. The next prime is 4396826881. The reversal of 4396826880 is 886286934.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4396826880² = 38664173225381068800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4396826881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41091787 + ... + 41091893.

It is an arithmetic number, because the mean of its divisors is an integer number (28973700).

Almost surely, 2^4396826880 is an apocalyptic number.

4396826880 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 4396826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344425600).

4396826880 is an abundant number, since it is smaller than the sum of its proper divisors (12292024320).

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

4396826880 is a wasteful number, since it uses less digits than its factorization.

4396826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4396826880 is about 66308.5732013591. The cubic root of 4396826880 is about 1638.2485366676.

The spelling of 4396826880 in words is "four billion, three hundred ninety-six million, eight hundred twenty-six thousand, eight hundred eighty".