4140181968 has 120 divisors (see below), whose sum is σ = 11808973344. Its totient is φ = 1242516480.

The previous prime is 4140181963. The next prime is 4140181979. The reversal of 4140181968 is 8691810414.

It is a happy number.

4140181968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4140181968² = 34282213456304706048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140181961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046971 + ... + 1050917.

Almost surely, 2^4140181968 is an apocalyptic number.

4140181968 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 4140181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904486672).

4140181968 is an abundant number, since it is smaller than the sum of its proper divisors (7668791376).

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

4140181968 is a wasteful number, since it uses less digits than its factorization.

4140181968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 4140181968 is about 64344.2458033350. The cubic root of 4140181968 is about 1605.7322988594.

The spelling of 4140181968 in words is "four billion, one hundred forty million, one hundred eighty-one thousand, nine hundred sixty-eight".