4481694880 has 144 divisors (see below), whose sum is σ = 11571540120. Its totient is φ = 1630568448.

The previous prime is 4481694869. The next prime is 4481694883. The reversal of 4481694880 is 884961844.

It can be written as a sum of positive squares in 12 ways, for example, as 485937936 + 3995756944 = 22044^2 + 63212^2 .

It is a super-4 number, since 4×4481694880⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (4481694883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19570606 + ... + 19570834.

Almost surely, 2^4481694880 is an apocalyptic number.

4481694880 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 4481694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785770060).

4481694880 is an abundant number, since it is smaller than the sum of its proper divisors (7089845240).

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

4481694880 is a wasteful number, since it uses less digits than its factorization.

4481694880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The square root of 4481694880 is about 66945.4619821239. The cubic root of 4481694880 is about 1648.7219831182.

The spelling of 4481694880 in words is "four billion, four hundred eighty-one million, six hundred ninety-four thousand, eight hundred eighty".