4020123144 has 128 divisors (see below), whose sum is σ = 11278310400. Its totient is φ = 1187880960.

The previous prime is 4020123137. The next prime is 4020123157. The reversal of 4020123144 is 4413210204.

It is a super-3 number, since 3×4020123144³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4020123144.

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 31 ways as a sum of consecutive naturals, for example, 480969 + ... + 489255.

It is an arithmetic number, because the mean of its divisors is an integer number (88111800).

Almost surely, 2^4020123144 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 4020123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639155200).

4020123144 is an abundant number, since it is smaller than the sum of its proper divisors (7258187256).

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

4020123144 is a wasteful number, since it uses less digits than its factorization.

4020123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4020123144 is about 63404.4410431951. The cubic root of 4020123144 is about 1590.0585588179.

Adding to 4020123144 its reverse (4413210204), we get a palindrome (8433333348).

The spelling of 4020123144 in words is "four billion, twenty million, one hundred twenty-three thousand, one hundred forty-four".