4190497080 has 256 divisors, whose sum is σ = 15801384960. Its totient is φ = 863654400.

The previous prime is 4190497067. The next prime is 4190497133. The reversal of 4190497080 is 807940914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171695 + ... + 1175265.

It is an arithmetic number, because the mean of its divisors is an integer number (61724160).

Almost surely, 2^4190497080 is an apocalyptic number.

4190497080 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 4190497080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900692480).

4190497080 is an abundant number, since it is smaller than the sum of its proper divisors (11610887880).

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

4190497080 is a wasteful number, since it uses less digits than its factorization.

4190497080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4190497080 is about 64734.0488460285. The cubic root of 4190497080 is about 1612.2108792377.

The spelling of 4190497080 in words is "four billion, one hundred ninety million, four hundred ninety-seven thousand, eighty".