4202043120 has 240 divisors, whose sum is σ = 15443011584. Its totient is φ = 1015488000.

The previous prime is 4202043107. The next prime is 4202043127. The reversal of 4202043120 is 213402024.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4202043093 and 4202043102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202043127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3412905 + ... + 3414135.

Almost surely, 2^4202043120 is an apocalyptic number.

4202043120 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 4202043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721505792).

4202043120 is an abundant number, since it is smaller than the sum of its proper divisors (11240968464).

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

4202043120 is a wasteful number, since it uses less digits than its factorization.

4202043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4202043120 is about 64823.1680805559. The cubic root of 4202043120 is about 1613.6902249099.

Adding to 4202043120 its reverse (213402024), we get a palindrome (4415445144).

It can be divided in two parts, 420204 and 3120, that added together give a palindrome (423324).

The spelling of 4202043120 in words is "four billion, two hundred two million, forty-three thousand, one hundred twenty".