42435522553424 has 160 divisors (see below), whose sum is σ = 113952733224960. Its totient is φ = 14769219110400.

The previous prime is 42435522553423. The next prime is 42435522553429.

42435522553424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435522553423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42238514 + ... + 43231505.

It is an arithmetic number, because the mean of its divisors is an integer number (712204582656).

Almost surely, 2^{42435522553424} is an apocalyptic number.

42435522553424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42435522553424 is an abundant number, since it is smaller than the sum of its proper divisors (71517210671536).

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

42435522553424 is a wasteful number, since it uses less digits than its factorization.

42435522553424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85470089 (or 85470083 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 50.

It can be divided in two parts, 4243552 and 2553424, that added together give a palindrome (6796976).

The spelling of 42435522553424 in words is "forty-two trillion, four hundred thirty-five billion, five hundred twenty-two million, five hundred fifty-three thousand, four hundred twenty-four".