4142988 has 60 divisors (see below), whose sum is σ = 11417560. Its totient is φ = 1306368.

The previous prime is 4142947. The next prime is 4142989. The reversal of 4142988 is 8892414.

It is a super-3 number, since 3×4142988³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4142989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5820 + ... + 6492.

Almost surely, 2^4142988 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 4142988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708780).

4142988 is an abundant number, since it is smaller than the sum of its proper divisors (7274572).

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

4142988 is a wasteful number, since it uses less digits than its factorization.

4142988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4142988 is about 2035.4331234408. The cubic root of 4142988 is about 160.6094981684.

The spelling of 4142988 in words is "four million, one hundred forty-two thousand, nine hundred eighty-eight".