4352400042534 has 96 divisors (see below), whose sum is σ = 10112616933120. Its totient is φ = 1349353152576.

The previous prime is 4352400042503. The next prime is 4352400042553.

4352400042534 is a `hidden beast` number, since 43 + 5 + 2 + 40 + 0 + 0 + 42 + 534 = 666.

4352400042534 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4352400042534² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 24097149 + ... + 24277095.

It is an arithmetic number, because the mean of its divisors is an integer number (105339759720).

Almost surely, 2^{4352400042534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4352400042534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056308466560).

4352400042534 is an abundant number, since it is smaller than the sum of its proper divisors (5760216890586).

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

4352400042534 is a wasteful number, since it uses less digits than its factorization.

4352400042534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181594 (or 181591 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 43524000 and 42534, that added together give a palindrome (43566534).

The spelling of 4352400042534 in words is "four trillion, three hundred fifty-two billion, four hundred million, forty-two thousand, five hundred thirty-four".