4006191000 has 192 divisors, whose sum is σ = 14540554080. Its totient is φ = 915667200.

The previous prime is 4006190989. The next prime is 4006191001. The reversal of 4006191000 is 1916004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006191001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133374 + ... + 160626.

Almost surely, 2^4006191000 is an apocalyptic number.

4006191000 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 4006191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270277040).

4006191000 is an abundant number, since it is smaller than the sum of its proper divisors (10534363080).

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

4006191000 is a wasteful number, since it uses less digits than its factorization.

4006191000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27291 (or 27270 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 4006191000 is about 63294.4784321666. The cubic root of 4006191000 is about 1588.2195964720.

The spelling of 4006191000 in words is "four billion, six million, one hundred ninety-one thousand".