4024002000 has 160 divisors (see below), whose sum is σ = 13736870784. Its totient is φ = 1009920000.

The previous prime is 4024001953. The next prime is 4024002079. The reversal of 4024002000 is 2004204.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82275 + ... + 121725.

Almost surely, 2^4024002000 is an apocalyptic number.

4024002000 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 4024002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868435392).

4024002000 is an abundant number, since it is smaller than the sum of its proper divisors (9712868784).

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

4024002000 is a wasteful number, since it uses less digits than its factorization.

4024002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39494 (or 39478 counting only the distinct ones).

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

The square root of 4024002000 is about 63435.0218727794. The cubic root of 4024002000 is about 1590.5697890628.

Adding to 4024002000 its reverse (2004204), we get a palindrome (4026006204).

The spelling of 4024002000 in words is "four billion, twenty-four million, two thousand".