4006214100 has 144 divisors (see below), whose sum is σ = 14719196800. Its totient is φ = 915701760.

The previous prime is 4006214089. The next prime is 4006214119. The reversal of 4006214100 is 14126004.

4006214100 is a `hidden beast` number, since 4 + 0 + 0 + 621 + 41 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87085 + ... + 124884.

Almost surely, 2^4006214100 is an apocalyptic number.

It is an amenable number.

4006214100 is an abundant number, since it is smaller than the sum of its proper divisors (10712982700).

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

4006214100 is a wasteful number, since it uses less digits than its factorization.

4006214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211999 (or 211986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4006214100 is about 63294.6609122760. The cubic root of 4006214100 is about 1588.2226490642. Note that the first 3 decimals are identical.

The spelling of 4006214100 in words is "four billion, six million, two hundred fourteen thousand, one hundred".