4040766400 has 84 divisors (see below), whose sum is σ = 10846749960. Its totient is φ = 1469363200.

The previous prime is 4040766383. The next prime is 4040766407. The reversal of 4040766400 is 46670404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040766407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97195 + ... + 132394.

Almost surely, 2^4040766400 is an apocalyptic number.

4040766400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040766400 is an abundant number, since it is smaller than the sum of its proper divisors (6805983560).

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

4040766400 is a wasteful number, since it uses less digits than its factorization.

4040766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229622 (or 229607 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 4040766400 is about 63567.0228970966. The cubic root of 4040766400 is about 1592.7755537066.

The spelling of 4040766400 in words is "four billion, forty million, seven hundred sixty-six thousand, four hundred".