4190413920 has 384 divisors, whose sum is σ = 16610614272. Its totient is φ = 869806080.

The previous prime is 4190413853. The next prime is 4190413937. The reversal of 4190413920 is 293140914.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4471692 + ... + 4472628.

It is an arithmetic number, because the mean of its divisors is an integer number (43256808).

Almost surely, 2^4190413920 is an apocalyptic number.

4190413920 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 4190413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305307136).

4190413920 is an abundant number, since it is smaller than the sum of its proper divisors (12420200352).

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

4190413920 is a wasteful number, since it uses less digits than its factorization.

4190413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4190413920 is about 64733.4065224440. The cubic root of 4190413920 is about 1612.2002144453.

The spelling of 4190413920 in words is "four billion, one hundred ninety million, four hundred thirteen thousand, nine hundred twenty".