4102729920 has 224 divisors, whose sum is σ = 14591385600. Its totient is φ = 1085156352.

The previous prime is 4102729913. The next prime is 4102729951. The reversal of 4102729920 is 299272014.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095411 + ... + 1099149.

Almost surely, 2^4102729920 is an apocalyptic number.

4102729920 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 4102729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295692800).

4102729920 is an abundant number, since it is smaller than the sum of its proper divisors (10488655680).

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

4102729920 is a wasteful number, since it uses less digits than its factorization.

4102729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4102729920 is about 64052.5559208998. Note that the first 3 decimals coincide. The cubic root of 4102729920 is about 1600.8758121748.

The spelling of 4102729920 in words is "four billion, one hundred two million, seven hundred twenty-nine thousand, nine hundred twenty".