4042141320 has 384 divisors, whose sum is σ = 15041980800. Its totient is φ = 863944704.

The previous prime is 4042141283. The next prime is 4042141361. The reversal of 4042141320 is 231412404.

4042141320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10836654 + ... + 10837026.

It is an arithmetic number, because the mean of its divisors is an integer number (39171825).

Almost surely, 2^4042141320 is an apocalyptic number.

4042141320 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 4042141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520990400).

4042141320 is an abundant number, since it is smaller than the sum of its proper divisors (10999839480).

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

4042141320 is a wasteful number, since it uses less digits than its factorization.

4042141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

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

The square root of 4042141320 is about 63577.8367043107. The cubic root of 4042141320 is about 1592.9561869834.

Adding to 4042141320 its reverse (231412404), we get a palindrome (4273553724).

The spelling of 4042141320 in words is "four billion, forty-two million, one hundred forty-one thousand, three hundred twenty".