4201110431120 has 80 divisors (see below), whose sum is σ = 9776265528960. Its totient is φ = 1678950991872.

The previous prime is 4201110431117. The next prime is 4201110431123. The reversal of 4201110431120 is 211340111024.

It is an interprime number because it is at equal distance from previous prime (4201110431117) and next prime (4201110431123).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 4201110431092 and 4201110431101.

It is not an unprimeable number, because it can be changed into a prime (4201110431123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614823224 + ... + 614830056.

It is an arithmetic number, because the mean of its divisors is an integer number (122203319112).

Almost surely, 2^{4201110431120} is an apocalyptic number.

4201110431120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201110431120 is an abundant number, since it is smaller than the sum of its proper divisors (5575155097840).

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

4201110431120 is a wasteful number, since it uses less digits than its factorization.

4201110431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 4201110431120 its reverse (211340111024), we get a palindrome (4412450542144).

The spelling of 4201110431120 in words is "four trillion, two hundred one billion, one hundred ten million, four hundred thirty-one thousand, one hundred twenty".