4196417088 has 112 divisors (see below), whose sum is σ = 11776886784. Its totient is φ = 1314201600.

The previous prime is 4196417081. The next prime is 4196417101. The reversal of 4196417088 is 8807146914.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4196417081) 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 15 ways as a sum of consecutive naturals, for example, 3645313 + ... + 3646463.

Almost surely, 2^4196417088 is an apocalyptic number.

4196417088 is a gapful number since it is divisible by the number (48) 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 4196417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888443392).

4196417088 is an abundant number, since it is smaller than the sum of its proper divisors (7580469696).

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

4196417088 is a wasteful number, since it uses less digits than its factorization.

4196417088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 4196417088 is about 64779.7583200185. The cubic root of 4196417088 is about 1612.9697240050.

The spelling of 4196417088 in words is "four billion, one hundred ninety-six million, four hundred seventeen thousand, eighty-eight".