4053538353504 has 192 divisors, whose sum is σ = 10923759947520. Its totient is φ = 1315801651200.

The previous prime is 4053538353497. The next prime is 4053538353593.

4053538353504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182671242 + ... + 182693430.

It is an arithmetic number, because the mean of its divisors is an integer number (56894583060).

Almost surely, 2^{4053538353504} 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 4053538353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461879973760).

4053538353504 is an abundant number, since it is smaller than the sum of its proper divisors (6870221594016).

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

4053538353504 is a wasteful number, since it uses less digits than its factorization.

4053538353504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22613 (or 22605 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 4053538353504 in words is "four trillion, fifty-three billion, five hundred thirty-eight million, three hundred fifty-three thousand, five hundred four".