4144834920 has 64 divisors (see below), whose sum is σ = 12449946240. Its totient is φ = 1103916800.

The previous prime is 4144834909. The next prime is 4144834921. The reversal of 4144834920 is 294384414.

4144834920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4144834921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77485 + ... + 119555.

It is an arithmetic number, because the mean of its divisors is an integer number (194530410).

Almost surely, 2^4144834920 is an apocalyptic number.

4144834920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144834920 is an abundant number, since it is smaller than the sum of its proper divisors (8305111320).

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

4144834920 is a wasteful number, since it uses less digits than its factorization.

4144834920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42906 (or 42902 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4144834920 is about 64380.3923566795. The cubic root of 4144834920 is about 1606.3336088341. Note that the first 3 decimals are identical.

The spelling of 4144834920 in words is "four billion, one hundred forty-four million, eight hundred thirty-four thousand, nine hundred twenty".