42435633653424 has 120 divisors (see below), whose sum is σ = 133885918096560. Its totient is φ = 12859282909440.

The previous prime is 42435633653419. The next prime is 42435633653437.

It is a happy number.

42435633653424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 56 + 3 + 36 + 534 + 24 = 666.

42435633653424 is nontrivially palindromic in base 10.

42435633653424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42435633653424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405859437 + ... + 405963980.

It is an arithmetic number, because the mean of its divisors is an integer number (1115715984138).

Almost surely, 2^{42435633653424} is an apocalyptic number.

42435633653424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42435633653424 is an abundant number, since it is smaller than the sum of its proper divisors (91450284443136).

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

42435633653424 is a wasteful number, since it uses less digits than its factorization.

42435633653424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811823456 (or 811823433 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 4243563 and 3653424, that added together give a palindrome (7896987).

The spelling of 42435633653424 in words is "forty-two trillion, four hundred thirty-five billion, six hundred thirty-three million, six hundred fifty-three thousand, four hundred twenty-four".