4002042000 has 160 divisors (see below), whose sum is σ = 14075777664. Its totient is φ = 970176000.

The previous prime is 4002041993. The next prime is 4002042049. The reversal of 4002042000 is 2402004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35682 + ... + 96318.

Almost surely, 2^4002042000 is an apocalyptic number.

4002042000 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 4002042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037888832).

4002042000 is an abundant number, since it is smaller than the sum of its proper divisors (10073735664).

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

4002042000 is a wasteful number, since it uses less digits than its factorization.

4002042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60674 (or 60658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4002042000 is about 63261.6945710435. The cubic root of 4002042000 is about 1587.6711287610.

Adding to 4002042000 its reverse (2402004), we get a palindrome (4004444004).

It can be divided in two parts, 400204 and 2000, that added together give a palindrome (402204).

The spelling of 4002042000 in words is "four billion, two million, forty-two thousand", and thus it is an eban number.