4190826920 has 96 divisors (see below), whose sum is σ = 11075875200. Its totient is φ = 1422836352.

The previous prime is 4190826919. The next prime is 4190826923. The reversal of 4190826920 is 296280914.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4190826923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191501 + ... + 212259.

It is an arithmetic number, because the mean of its divisors is an integer number (115373700).

Almost surely, 2^4190826920 is an apocalyptic number.

4190826920 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 4190826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537937600).

4190826920 is an abundant number, since it is smaller than the sum of its proper divisors (6885048280).

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

4190826920 is a wasteful number, since it uses less digits than its factorization.

4190826920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20887 (or 20876 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 4190826920 is about 64736.5964505395. The cubic root of 4190826920 is about 1612.2531779336.

The spelling of 4190826920 in words is "four billion, one hundred ninety million, eight hundred twenty-six thousand, nine hundred twenty".