4140192096 has 192 divisors, whose sum is σ = 12841597440. Its totient is φ = 1294824960.

The previous prime is 4140192059. The next prime is 4140192103. The reversal of 4140192096 is 6902910414.

It is a happy number.

4140192096 is a `hidden beast` number, since 41 + 401 + 9 + 209 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4140192096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051251 + ... + 1055181.

It is an arithmetic number, because the mean of its divisors is an integer number (66883320).

Almost surely, 2^4140192096 is an apocalyptic number.

4140192096 is a gapful number since it is divisible by the number (46) 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 4140192096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420798720).

4140192096 is an abundant number, since it is smaller than the sum of its proper divisors (8701405344).

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

4140192096 is a wasteful number, since it uses less digits than its factorization.

4140192096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4140192096 is about 64344.3245049631. The cubic root of 4140192096 is about 1605.7336082095.

The spelling of 4140192096 in words is "four billion, one hundred forty million, one hundred ninety-two thousand, ninety-six".