4072189738344 has 256 divisors, whose sum is σ = 12920066611200. Its totient is φ = 1041022374912.

The previous prime is 4072189738321. The next prime is 4072189738391. The reversal of 4072189738344 is 4438379812704.

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, 9395487 + ... + 9819345.

It is an arithmetic number, because the mean of its divisors is an integer number (50469010200).

Almost surely, 2^{4072189738344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072189738344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460033305600).

4072189738344 is an abundant number, since it is smaller than the sum of its proper divisors (8847876872856).

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

4072189738344 is a wasteful number, since it uses less digits than its factorization.

4072189738344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424024 (or 424020 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 4072189738344 in words is "four trillion, seventy-two billion, one hundred eighty-nine million, seven hundred thirty-eight thousand, three hundred forty-four".