4138099789824 has 1248 divisors, whose sum is σ = 16193539375104. Its totient is φ = 983224811520.

The previous prime is 4138099789823. The next prime is 4138099789861. The reversal of 4138099789824 is 4289879908314.

4138099789824 is a `hidden beast` number, since 4 + 1 + 380 + 9 + 97 + 89 + 82 + 4 = 666.

4138099789824 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 (1248).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138099789823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4686409287 + ... + 4686410169.

It is an arithmetic number, because the mean of its divisors is an integer number (12975592448).

Almost surely, 2^{4138099789824} is an apocalyptic number.

4138099789824 is a gapful number since it is divisible by the number (44) 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 4138099789824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096769687552).

4138099789824 is an abundant number, since it is smaller than the sum of its proper divisors (12055439585280).

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

4138099789824 is a wasteful number, since it uses less digits than its factorization.

4138099789824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 4138099789824 in words is "four trillion, one hundred thirty-eight billion, ninety-nine million, seven hundred eighty-nine thousand, eight hundred twenty-four".