4130101200420 has 288 divisors, whose sum is σ = 13829746170240. Its totient is φ = 991197112320.

The previous prime is 4130101200419. The next prime is 4130101200431. The reversal of 4130101200420 is 240021010314.

4130101200420 is a `hidden beast` number, since 4 + 1 + 30 + 10 + 1 + 200 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4130101200393 and 4130101200402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156081151 + ... + 156107609.

It is an arithmetic number, because the mean of its divisors is an integer number (48019951980).

Almost surely, 2^{4130101200420} 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 4130101200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914873085120).

4130101200420 is an abundant number, since it is smaller than the sum of its proper divisors (9699644969820).

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

4130101200420 is a wasteful number, since it uses less digits than its factorization.

4130101200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28155 (or 28150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4130101200420 its reverse (240021010314), we get a palindrome (4370122210734).

The spelling of 4130101200420 in words is "four trillion, one hundred thirty billion, one hundred one million, two hundred thousand, four hundred twenty".