4196264160 has 288 divisors, whose sum is σ = 14918069376. Its totient is φ = 983270400.

The previous prime is 4196264147. The next prime is 4196264167. The reversal of 4196264160 is 614626914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196264167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5073667 + ... + 5074493.

It is an arithmetic number, because the mean of its divisors is an integer number (51798852).

Almost surely, 2^4196264160 is an apocalyptic number.

4196264160 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 4196264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459034688).

4196264160 is an abundant number, since it is smaller than the sum of its proper divisors (10721805216).

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

4196264160 is a wasteful number, since it uses less digits than its factorization.

4196264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4196264160 is about 64778.5779405507. The cubic root of 4196264160 is about 1612.9501302083.

The spelling of 4196264160 in words is "four billion, one hundred ninety-six million, two hundred sixty-four thousand, one hundred sixty".