4004120142 has 120 divisors (see below), whose sum is σ = 9906850800. Its totient is φ = 1207863360.

The previous prime is 4004120101. The next prime is 4004120171. The reversal of 4004120142 is 2410214004.

4004120142 is a `hidden beast` number, since 400 + 4 + 120 + 142 = 666.

4004120142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4004120142² = 32065956223140200328, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 7036834 + ... + 7037402.

It is an arithmetic number, because the mean of its divisors is an integer number (82557090).

Almost surely, 2^4004120142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004120142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953425400).

4004120142 is an abundant number, since it is smaller than the sum of its proper divisors (5902730658).

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

4004120142 is a wasteful number, since it uses less digits than its factorization.

4004120142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 944 counting only the distinct ones).

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

The square root of 4004120142 is about 63278.1174024639. The cubic root of 4004120142 is about 1587.9458914218.

Adding to 4004120142 its reverse (2410214004), we get a palindrome (6414334146).

The spelling of 4004120142 in words is "four billion, four million, one hundred twenty thousand, one hundred forty-two".