4100345120 has 48 divisors (see below), whose sum is σ = 9772834680. Its totient is φ = 1625616384.

The previous prime is 4100345099. The next prime is 4100345191. The reversal of 4100345120 is 215430014.

It can be written as a sum of positive squares in 4 ways, for example, as 1579903504 + 2520441616 = 39748^2 + 50204^2 .

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 = 4100345092 and 4100345101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95315 + ... + 131474.

Almost surely, 2^4100345120 is an apocalyptic number.

4100345120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100345120 is an abundant number, since it is smaller than the sum of its proper divisors (5672489560).

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

4100345120 is a wasteful number, since it uses less digits than its factorization.

4100345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226917 (or 226909 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4100345120 is about 64033.9372520541. The cubic root of 4100345120 is about 1600.5655708908.

Adding to 4100345120 its reverse (215430014), we get a palindrome (4315775134).

The spelling of 4100345120 in words is "four billion, one hundred million, three hundred forty-five thousand, one hundred twenty".