4141688000 has 56 divisors (see below), whose sum is σ = 10256910144. Its totient is φ = 1656672000.

The previous prime is 4141687997. The next prime is 4141688017. The reversal of 4141688000 is 8861414.

4141688000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250856 + ... + 266855.

Almost surely, 2^4141688000 is an apocalyptic number.

4141688000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141688000 is an abundant number, since it is smaller than the sum of its proper divisors (6115222144).

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

4141688000 is an equidigital number, since it uses as much as digits as its factorization.

4141688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517738 (or 517718 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 4141688000 is about 64355.9476660860. The cubic root of 4141688000 is about 1605.9269755731.

The spelling of 4141688000 in words is "four billion, one hundred forty-one million, six hundred eighty-eight thousand".