4002939000 has 672 divisors, whose sum is σ = 15703786800. Its totient is φ = 951782400.

The previous prime is 4002938963. The next prime is 4002939037. The reversal of 4002939000 is 9392004.

It is an interprime number because it is at equal distance from previous prime (4002938963) and next prime (4002939037).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 210680991 + ... + 210681009.

Almost surely, 2^4002939000 is an apocalyptic number.

4002939000 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 4002939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851893400).

4002939000 is an abundant number, since it is smaller than the sum of its proper divisors (11700847800).

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

4002939000 is a wasteful number, since it uses less digits than its factorization.

4002939000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4002939000 is about 63268.7837720941. The cubic root of 4002939000 is about 1587.7897377624.

The spelling of 4002939000 in words is "four billion, two million, nine hundred thirty-nine thousand".