4190840640 has 672 divisors, whose sum is σ = 18138038400. Its totient is φ = 905748480.

The previous prime is 4190840639. The next prime is 4190840651. The reversal of 4190840640 is 460480914.

It is a happy number.

4190840640 is a `hidden beast` number, since 4 + 1 + 9 + 0 + 8 + 4 + 0 + 640 = 666.

4190840640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4190840595 and 4190840604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8043580 + ... + 8044100.

Almost surely, 2^4190840640 is an apocalyptic number.

4190840640 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 4190840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069019200).

4190840640 is an abundant number, since it is smaller than the sum of its proper divisors (13947197760).

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

4190840640 is a wasteful number, since it uses less digits than its factorization.

4190840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4190840640 is about 64736.7024183345. The cubic root of 4190840640 is about 1612.2549373389.

The spelling of 4190840640 in words is "four billion, one hundred ninety million, eight hundred forty thousand, six hundred forty".