4002140142 has 192 divisors, whose sum is σ = 11692961280. Its totient is φ = 955411200.

The previous prime is 4002140117. The next prime is 4002140173. The reversal of 4002140142 is 2410412004.

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

It is a congruent number.

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, 7008717 + ... + 7009287.

It is an arithmetic number, because the mean of its divisors is an integer number (60900840).

Almost surely, 2^4002140142 is an apocalyptic number.

4002140142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002140142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846480640).

4002140142 is an abundant number, since it is smaller than the sum of its proper divisors (7690821138).

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

4002140142 is a wasteful number, since it uses less digits than its factorization.

4002140142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002140142 is about 63262.4702489557. The cubic root of 4002140142 is about 1587.6841067979.

Adding to 4002140142 its reverse (2410412004), we get a palindrome (6412552146).

The spelling of 4002140142 in words is "four billion, two million, one hundred forty thousand, one hundred forty-two".