4198731264 has 960 divisors, whose sum is σ = 17158901760. Its totient is φ = 955514880.

The previous prime is 4198731223. The next prime is 4198731269. The reversal of 4198731264 is 4621378914.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198731269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135442929 + ... + 135442959.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^4198731264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579450880).

4198731264 is an abundant number, since it is smaller than the sum of its proper divisors (12960170496).

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

4198731264 is a wasteful number, since it uses less digits than its factorization.

4198731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4198731264 is about 64797.6177339877. The cubic root of 4198731264 is about 1613.2661681545.

The spelling of 4198731264 in words is "four billion, one hundred ninety-eight million, seven hundred thirty-one thousand, two hundred sixty-four".