4101434120 has 64 divisors (see below), whose sum is σ = 10645188480. Its totient is φ = 1393053696.

The previous prime is 4101434119. The next prime is 4101434143. The reversal of 4101434120 is 214341014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4101434092 and 4101434101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38489 + ... + 98408.

It is an arithmetic number, because the mean of its divisors is an integer number (166331070).

Almost surely, 2^4101434120 is an apocalyptic number.

4101434120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101434120 is an abundant number, since it is smaller than the sum of its proper divisors (6543754360).

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

4101434120 is a wasteful number, since it uses less digits than its factorization.

4101434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137022 (or 137018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4101434120 is about 64042.4399909935. The cubic root of 4101434120 is about 1600.7072550312.

Adding to 4101434120 its reverse (214341014), we get a palindrome (4315775134).

The spelling of 4101434120 in words is "four billion, one hundred one million, four hundred thirty-four thousand, one hundred twenty".