4053050744064 has 576 divisors, whose sum is σ = 13202961666048. Its totient is φ = 1078640640000.

The previous prime is 4053050743993. The next prime is 4053050744147. The reversal of 4053050744064 is 4604470503504.

It is a happy number.

4053050744064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 2132061514 + ... + 2132063414.

It is an arithmetic number, because the mean of its divisors is an integer number (22921808448).

Almost surely, 2^{4053050744064} 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 4053050744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601480833024).

4053050744064 is an abundant number, since it is smaller than the sum of its proper divisors (9149910921984).

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

4053050744064 is a wasteful number, since it uses less digits than its factorization.

4053050744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 4053050744064 in words is "four trillion, fifty-three billion, fifty million, seven hundred forty-four thousand, sixty-four".