4199208440 has 128 divisors (see below), whose sum is σ = 11572623360. Its totient is φ = 1339835904.

The previous prime is 4199208353. The next prime is 4199208469. The reversal of 4199208440 is 448029914.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229469 + ... + 247091.

It is an arithmetic number, because the mean of its divisors is an integer number (90411120).

Almost surely, 2^4199208440 is an apocalyptic number.

4199208440 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 4199208440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786311680).

4199208440 is an abundant number, since it is smaller than the sum of its proper divisors (7373414920).

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

4199208440 is a wasteful number, since it uses less digits than its factorization.

4199208440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17701 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 4199208440 is about 64801.2996783244. The cubic root of 4199208440 is about 1613.3272804833.

The spelling of 4199208440 in words is "four billion, one hundred ninety-nine million, two hundred eight thousand, four hundred forty".