4190881464 has 192 divisors, whose sum is σ = 14624467200. Its totient is φ = 1088493120.

The previous prime is 4190881459. The next prime is 4190881481. The reversal of 4190881464 is 4641880914.

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 47 ways as a sum of consecutive naturals, for example, 171499 + ... + 194405.

It is an arithmetic number, because the mean of its divisors is an integer number (76169100).

Almost surely, 2^4190881464 is an apocalyptic number.

4190881464 is a gapful number since it is divisible by the number (44) 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 4190881464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312233600).

4190881464 is an abundant number, since it is smaller than the sum of its proper divisors (10433585736).

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

4190881464 is a wasteful number, since it uses less digits than its factorization.

4190881464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22951 (or 22930 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4190881464 is about 64737.0177255641. The cubic root of 4190881464 is about 1612.2601724446.

The spelling of 4190881464 in words is "four billion, one hundred ninety million, eight hundred eighty-one thousand, four hundred sixty-four".