4002984942 has 64 divisors (see below), whose sum is σ = 9288518400. Its totient is φ = 1137300480.

The previous prime is 4002984941. The next prime is 4002984943. The reversal of 4002984942 is 2494892004.

It is an interprime number because it is at equal distance from previous prime (4002984941) and next prime (4002984943).

It is a junction number, because it is equal to n+sod(n) for n = 4002984894 and 4002984903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002984941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105184 + ... + 138092.

It is an arithmetic number, because the mean of its divisors is an integer number (145133100).

Almost surely, 2^4002984942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002984942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644259200).

4002984942 is an abundant number, since it is smaller than the sum of its proper divisors (5285533458).

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

4002984942 is a wasteful number, since it uses less digits than its factorization.

4002984942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33041.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4002984942 is about 63269.1468410947. The cubic root of 4002984942 is about 1587.7958121290.

The spelling of 4002984942 in words is "four billion, two million, nine hundred eighty-four thousand, nine hundred forty-two".