42025344352024 has 32 divisors (see below), whose sum is σ = 86287779325440. Its totient is φ = 19029796429600.

The previous prime is 42025344352003. The next prime is 42025344352039.

42025344352024 is nontrivially palindromic in base 10.

42025344352024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42025344352024² (a number of 28 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 907886992 + ... + 907933279.

It is an arithmetic number, because the mean of its divisors is an integer number (2696493103920).

Almost surely, 2^{42025344352024} is an apocalyptic number.

42025344352024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42025344352024 is an abundant number, since it is smaller than the sum of its proper divisors (44262434973416).

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

42025344352024 is a wasteful number, since it uses less digits than its factorization.

42025344352024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815820551 (or 1815820547 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 4202534 and 4352024, that added together give a palindrome (8554558).

The spelling of 42025344352024 in words is "forty-two trillion, twenty-five billion, three hundred forty-four million, three hundred fifty-two thousand, twenty-four".