4052037193344 has 384 divisors, whose sum is σ = 13489261793280. Its totient is φ = 1143611965440.

The previous prime is 4052037193319. The next prime is 4052037193487. The reversal of 4052037193344 is 4433917302504.

4052037193344 is a `hidden beast` number, since 4 + 0 + 520 + 3 + 7 + 1 + 93 + 34 + 4 = 666.

4052037193344 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 (384).

It is a self number, because there is not a number n which added to its sum of digits gives 4052037193344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238613334 + ... + 238630314.

It is an arithmetic number, because the mean of its divisors is an integer number (35128285920).

Almost surely, 2^{4052037193344} 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 4052037193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744630896640).

4052037193344 is an abundant number, since it is smaller than the sum of its proper divisors (9437224599936).

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

4052037193344 is a wasteful number, since it uses less digits than its factorization.

4052037193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17368 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4052037193344 in words is "four trillion, fifty-two billion, thirty-seven million, one hundred ninety-three thousand, three hundred forty-four".