4101639024 has 160 divisors (see below), whose sum is σ = 12368208384. Its totient is φ = 1147069440.

The previous prime is 4101639019. The next prime is 4101639037. The reversal of 4101639024 is 4209361014.

4101639024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4101638982 and 4101639000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6004987 + ... + 6005669.

Almost surely, 2^4101639024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101639024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184104192).

4101639024 is an abundant number, since it is smaller than the sum of its proper divisors (8266569360).

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

4101639024 is a wasteful number, since it uses less digits than its factorization.

4101639024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4101639024 is about 64044.0397226783. The cubic root of 4101639024 is about 1600.7339112241.

The spelling of 4101639024 in words is "four billion, one hundred one million, six hundred thirty-nine thousand, twenty-four".