42145001344233 has 48 divisors (see below), whose sum is σ = 62370501336000. Its totient is φ = 27408611672064.

The previous prime is 42145001344223. The next prime is 42145001344279. The reversal of 42145001344233 is 33244310054124.

42145001344233 is a `hidden beast` number, since 4 + 2 + 1 + 450 + 0 + 134 + 42 + 33 = 666.

42145001344233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42145001344233 - 2²⁸ = 42144732908777 is a prime.

It is a super-2 number, since 2×42145001344233² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42145001344223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3429483753 + ... + 3429496041.

It is an arithmetic number, because the mean of its divisors is an integer number (1299385444500).

Almost surely, 2^{42145001344233} is an apocalyptic number.

42145001344233 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42145001344233 is a deficient number, since it is larger than the sum of its proper divisors (20225499991767).

42145001344233 is a wasteful number, since it uses less digits than its factorization.

42145001344233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22806 (or 22803 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 42145001344233 its reverse (33244310054124), we get a palindrome (75389311398357).

The spelling of 42145001344233 in words is "forty-two trillion, one hundred forty-five billion, one million, three hundred forty-four thousand, two hundred thirty-three".