4139068800 has 96 divisors (see below), whose sum is σ = 13633089480. Its totient is φ = 1103749120.

The previous prime is 4139068793. The next prime is 4139068823. The reversal of 4139068800 is 88609314.

4139068800 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 tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4139068800² = 34263781062266880000, which contains 22 as substring.

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, 205977 + ... + 225176.

Almost surely, 2^4139068800 is an apocalyptic number.

4139068800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4139068800 is an abundant number, since it is smaller than the sum of its proper divisors (9494020680).

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

4139068800 is a wasteful number, since it uses less digits than its factorization.

4139068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431180 (or 431163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4139068800 is about 64335.5951243167. The cubic root of 4139068800 is about 1605.5883752310.

The spelling of 4139068800 in words is "four billion, one hundred thirty-nine million, sixty-eight thousand, eight hundred".