4102549920 has 576 divisors, whose sum is σ = 17410498560. Its totient is φ = 858470400.

The previous prime is 4102549909. The next prime is 4102549933. The reversal of 4102549920 is 299452014.

4102549920 is a `hidden beast` number, since 4 + 102 + 549 + 9 + 2 + 0 = 666.

4102549920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5936775 + ... + 5937465.

It is an arithmetic number, because the mean of its divisors is an integer number (30226560).

Almost surely, 2^4102549920 is an apocalyptic number.

4102549920 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 4102549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705249280).

4102549920 is an abundant number, since it is smaller than the sum of its proper divisors (13307948640).

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

4102549920 is a wasteful number, since it uses less digits than its factorization.

4102549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4102549920 is about 64051.1508093336. The cubic root of 4102549920 is about 1600.8523999700.

The spelling of 4102549920 in words is "four billion, one hundred two million, five hundred forty-nine thousand, nine hundred twenty".