4002147529344 has 256 divisors, whose sum is σ = 11949185433600. Its totient is φ = 1318621731840.

The previous prime is 4002147529343. The next prime is 4002147529357. The reversal of 4002147529344 is 4439257412004.

4002147529344 is a `hidden beast` number, since 4 + 0 + 0 + 214 + 75 + 29 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4002147529344.

It is not an unprimeable number, because it can be changed into a prime (4002147529343) by changing a digit.

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, 118928329 + ... + 118961975.

It is an arithmetic number, because the mean of its divisors is an integer number (46676505600).

Almost surely, 2^{4002147529344} 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 4002147529344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974592716800).

4002147529344 is an abundant number, since it is smaller than the sum of its proper divisors (7947037904256).

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

4002147529344 is a wasteful number, since it uses less digits than its factorization.

4002147529344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34068 (or 34050 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4002147529344 in words is "four trillion, two billion, one hundred forty-seven million, five hundred twenty-nine thousand, three hundred forty-four".