4191989760 has 780 divisors, whose sum is σ = 18125437968. Its totient is φ = 907739136.

The previous prime is 4191989743. The next prime is 4191989771. The reversal of 4191989760 is 679891914.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4191989697 and 4191989706.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 220631031 + ... + 220631049.

Almost surely, 2^4191989760 is an apocalyptic number.

4191989760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4191989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062718984).

4191989760 is an abundant number, since it is smaller than the sum of its proper divisors (13933448208).

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

4191989760 is an equidigital number, since it uses as much as digits as its factorization.

4191989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 4191989760 is about 64745.5771462422. The cubic root of 4191989760 is about 1612.4022828832.

The spelling of 4191989760 in words is "four billion, one hundred ninety-one million, nine hundred eighty-nine thousand, seven hundred sixty".