4194833760 has 288 divisors, whose sum is σ = 15949664640. Its totient is φ = 996839424.

The previous prime is 4194833701. The next prime is 4194833761. The reversal of 4194833760 is 673384914.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×4194833760⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194833761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539017 + ... + 546743.

It is an arithmetic number, because the mean of its divisors is an integer number (55380780).

Almost surely, 2^4194833760 is an apocalyptic number.

4194833760 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 4194833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974832320).

4194833760 is an abundant number, since it is smaller than the sum of its proper divisors (11754830880).

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

4194833760 is a wasteful number, since it uses less digits than its factorization.

4194833760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4194833760 is about 64767.5363125694. The cubic root of 4194833760 is about 1612.7668381196.

The spelling of 4194833760 in words is "four billion, one hundred ninety-four million, eight hundred thirty-three thousand, seven hundred sixty".