4001386000 has 40 divisors (see below), whose sum is σ = 9675356184. Its totient is φ = 1600553600.

The previous prime is 4001385991. The next prime is 4001386009. The reversal of 4001386000 is 6831004.

It is an interprime number because it is at equal distance from previous prime (4001385991) and next prime (4001386009).

It can be written as a sum of positive squares in 4 ways, for example, as 133541136 + 3867844864 = 11556^2 + 62192^2 .

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

It is a super-2 number, since 2×4001386000² = 32022179841992000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4001386009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998347 + ... + 1002346.

Almost surely, 2^4001386000 is an apocalyptic number.

4001386000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001386000 is an abundant number, since it is smaller than the sum of its proper divisors (5673970184).

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

4001386000 is a wasteful number, since it uses less digits than its factorization.

4001386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000716 (or 2000700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4001386000 is about 63256.5095464491. The cubic root of 4001386000 is about 1587.5843756175.

The spelling of 4001386000 in words is "four billion, one million, three hundred eighty-six thousand".