4002785000 has 40 divisors (see below), whose sum is σ = 9378536970. Its totient is φ = 1601112000.

The previous prime is 4002784991. The next prime is 4002785009. The reversal of 4002785000 is 5872004.

It is an interprime number because it is at equal distance from previous prime (4002784991) and next prime (4002785009).

It can be written as a sum of positive squares in 5 ways, for example, as 3740356 + 3999044644 = 1934^2 + 63238^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4002785009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 395279 + ... + 405278.

Almost surely, 2^4002785000 is an apocalyptic number.

4002785000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002785000 is an abundant number, since it is smaller than the sum of its proper divisors (5375751970).

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

4002785000 is an equidigital number, since it uses as much as digits as its factorization.

4002785000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800583 (or 800564 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 4002785000 is about 63267.5667305137. The cubic root of 4002785000 is about 1587.7693758271.

The spelling of 4002785000 in words is "four billion, two million, seven hundred eighty-five thousand".