4123681920 has 128 divisors (see below), whose sum is σ = 14604768000. Its totient is φ = 1099643904.

The previous prime is 4123681873. The next prime is 4123681927. The reversal of 4123681920 is 291863214.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (4123681927) 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, 102040 + ... + 136599.

It is an arithmetic number, because the mean of its divisors is an integer number (114099750).

Almost surely, 2^4123681920 is an apocalyptic number.

4123681920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4123681920 is an abundant number, since it is smaller than the sum of its proper divisors (10481086080).

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

4123681920 is a wasteful number, since it uses less digits than its factorization.

4123681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238667 (or 238649 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4123681920 is about 64215.9008346064. The cubic root of 4123681920 is about 1603.5963271297.

The spelling of 4123681920 in words is "four billion, one hundred twenty-three million, six hundred eighty-one thousand, nine hundred twenty".