4190213094000 has 640 divisors, whose sum is σ = 14313866711040. Its totient is φ = 1052440576000.

The previous prime is 4190213093993. The next prime is 4190213094049. The reversal of 4190213094000 is 4903120914.

It is a Cunningham number, because it is equal to 2047001²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3819701452 + ... + 3819702548.

It is an arithmetic number, because the mean of its divisors is an integer number (22365416736).

Almost surely, 2^{4190213094000} is an apocalyptic number.

4190213094000 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 4190213094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156933355520).

4190213094000 is an abundant number, since it is smaller than the sum of its proper divisors (10123653617040).

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

4190213094000 is a wasteful number, since it uses less digits than its factorization.

4190213094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 4190213094000 in words is "four trillion, one hundred ninety billion, two hundred thirteen million, ninety-four thousand".