42504244240524 has 96 divisors (see below), whose sum is σ = 111119214528000. Its totient is φ = 12531685570560.

The previous prime is 42504244240483. The next prime is 42504244240603.

42504244240524 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42504244240524³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348651772 + ... + 348773660.

It is an arithmetic number, because the mean of its divisors is an integer number (1157491818000).

Almost surely, 2^{42504244240524} is an apocalyptic number.

42504244240524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42504244240524 is an abundant number, since it is smaller than the sum of its proper divisors (68614970287476).

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

42504244240524 is a wasteful number, since it uses less digits than its factorization.

42504244240524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193343 (or 193341 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 4250424 and 4240524, that added together give a palindrome (8490948).

The spelling of 42504244240524 in words is "forty-two trillion, five hundred four billion, two hundred forty-four million, two hundred forty thousand, five hundred twenty-four".