4168791900 has 864 divisors, whose sum is σ = 17778862080. Its totient is φ = 815546880.

The previous prime is 4168791877. The next prime is 4168791941. The reversal of 4168791900 is 91978614.

It is a happy number.

It is a super-2 number, since 2×4168791900² = 34757651811011220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88697677 + ... + 88697723.

Almost surely, 2^4168791900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168791900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889431040).

4168791900 is an abundant number, since it is smaller than the sum of its proper divisors (13610070180).

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

4168791900 is a wasteful number, since it uses less digits than its factorization.

4168791900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 4168791900 is about 64566.1823248053. The cubic root of 4168791900 is about 1609.4225132044.

The spelling of 4168791900 in words is "four billion, one hundred sixty-eight million, seven hundred ninety-one thousand, nine hundred".