4190870492160 has 704 divisors, whose sum is σ = 15146302316544. Its totient is φ = 980215398400.

The previous prime is 4190870492111. The next prime is 4190870492177. The reversal of 4190870492160 is 612940780914.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 563815804 + ... + 563823236.

Almost surely, 2^{4190870492160} is an apocalyptic number.

4190870492160 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 4190870492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573151158272).

4190870492160 is an abundant number, since it is smaller than the sum of its proper divisors (10955431824384).

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

4190870492160 is a wasteful number, since it uses less digits than its factorization.

4190870492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 4190870492160 in words is "four trillion, one hundred ninety billion, eight hundred seventy million, four hundred ninety-two thousand, one hundred sixty".