4191977790 has 768 divisors, whose sum is σ = 16102195200. Its totient is φ = 727833600.

The previous prime is 4191977749. The next prime is 4191977807. The reversal of 4191977790 is 977791914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53062971 + ... + 53063049.

It is an arithmetic number, because the mean of its divisors is an integer number (20966400).

Almost surely, 2^4191977790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4191977790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051097600).

4191977790 is an abundant number, since it is smaller than the sum of its proper divisors (11910217410).

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

4191977790 is a wasteful number, since it uses less digits than its factorization.

4191977790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 54.

The square root of 4191977790 is about 64745.4847074296. The cubic root of 4191977790 is about 1612.4007481726.

The spelling of 4191977790 in words is "four billion, one hundred ninety-one million, nine hundred seventy-seven thousand, seven hundred ninety".