4414832640 has 272 divisors, whose sum is σ = 15728520000. Its totient is φ = 1174929408.

The previous prime is 4414832633. The next prime is 4414832641. The reversal of 4414832640 is 462384144.

4414832640 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 8 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4414832595 and 4414832604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414832641) 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 15 ways as a sum of consecutive naturals, for example, 8847111 + ... + 8847609.

Almost surely, 2^4414832640 is an apocalyptic number.

4414832640 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 4414832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864260000).

4414832640 is an abundant number, since it is smaller than the sum of its proper divisors (11313687360).

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

4414832640 is an frugal number, since it uses more digits than its factorization.

4414832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4414832640 is about 66444.2069709617. The cubic root of 4414832640 is about 1640.4817938023.

The spelling of 4414832640 in words is "four billion, four hundred fourteen million, eight hundred thirty-two thousand, six hundred forty".