4201642000 has 40 divisors (see below), whose sum is σ = 10159575192. Its totient is φ = 1680656000.

The previous prime is 4201641979. The next prime is 4201642031. The reversal of 4201642000 is 2461024.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 4195411984 = 2496^2 + 64772^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048411 + ... + 1052410.

Almost surely, 2^4201642000 is an apocalyptic number.

4201642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201642000 is an abundant number, since it is smaller than the sum of its proper divisors (5957933192).

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

4201642000 is a wasteful number, since it uses less digits than its factorization.

4201642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100844 (or 2100828 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4201642000 is about 64820.0740511765. The cubic root of 4201642000 is about 1613.6388765538.

The spelling of 4201642000 in words is "four billion, two hundred one million, six hundred forty-two thousand".