4196505960 has 192 divisors, whose sum is σ = 14460526080. Its totient is φ = 1053596160.

The previous prime is 4196505949. The next prime is 4196505961. The reversal of 4196505960 is 695056914.

It is a happy number.

4196505960 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 50 + 596 + 0 = 666.

It is a super-2 number, since 2×4196505960² = 35221324544631043200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4196505961) 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, 407839 + ... + 418001.

It is an arithmetic number, because the mean of its divisors is an integer number (75315240).

Almost surely, 2^4196505960 is an apocalyptic number.

4196505960 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 4196505960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230263040).

4196505960 is an abundant number, since it is smaller than the sum of its proper divisors (10264020120).

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

4196505960 is a wasteful number, since it uses less digits than its factorization.

4196505960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 4196505960 is about 64780.4442714003. Note that the first 3 decimals coincide. The cubic root of 4196505960 is about 1612.9811104513.

The spelling of 4196505960 in words is "four billion, one hundred ninety-six million, five hundred five thousand, nine hundred sixty".