4414940640 has 768 divisors, whose sum is σ = 18091745280. Its totient is φ = 1007769600.

The previous prime is 4414940633. The next prime is 4414940641. The reversal of 4414940640 is 460494144.

4414940640 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 9 + 4 + 0 + 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 = 4414940595 and 4414940604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414940641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119322702 + ... + 119322738.

It is an arithmetic number, because the mean of its divisors is an integer number (23556960).

Almost surely, 2^4414940640 is an apocalyptic number.

4414940640 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 4414940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045872640).

4414940640 is an abundant number, since it is smaller than the sum of its proper divisors (13676804640).

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

4414940640 is a wasteful number, since it uses less digits than its factorization.

4414940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4414940640 is about 66445.0196779262. The cubic root of 4414940640 is about 1640.4951707223.

The spelling of 4414940640 in words is "four billion, four hundred fourteen million, nine hundred forty thousand, six hundred forty".