4140204768 has 72 divisors (see below), whose sum is σ = 13455672048. Its totient is φ = 1182915072.

The previous prime is 4140204743. The next prime is 4140204773. The reversal of 4140204768 is 8674020414.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024821 + ... + 1028852.

It is an arithmetic number, because the mean of its divisors is an integer number (186884334).

Almost surely, 2^4140204768 is an apocalyptic number.

4140204768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4140204768 is an abundant number, since it is smaller than the sum of its proper divisors (9315467280).

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

4140204768 is a wasteful number, since it uses less digits than its factorization.

4140204768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053696 (or 2053685 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4140204768 is about 64344.4229751111. The cubic root of 4140204768 is about 1605.7352464455.

The spelling of 4140204768 in words is "four billion, one hundred forty million, two hundred four thousand, seven hundred sixty-eight".