4108814640 has 240 divisors, whose sum is σ = 16463633760. Its totient is φ = 939133440.

The previous prime is 4108814621. The next prime is 4108814651. The reversal of 4108814640 is 464188014.

4108814640 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 8 + 1 + 4 + 640 = 666.

4108814640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4108814595 and 4108814604.

It is a congruent number.

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, 86430 + ... + 125250.

It is an arithmetic number, because the mean of its divisors is an integer number (68598474).

Almost surely, 2^4108814640 is an apocalyptic number.

4108814640 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 4108814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231816880).

4108814640 is an abundant number, since it is smaller than the sum of its proper divisors (12354819120).

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

4108814640 is a wasteful number, since it uses less digits than its factorization.

4108814640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38857 (or 38838 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4108814640 is about 64100.0361934375. The cubic root of 4108814640 is about 1601.6668358501. Note that the first 3 decimals are identical.

The spelling of 4108814640 in words is "four billion, one hundred eight million, eight hundred fourteen thousand, six hundred forty".