42141645 has 96 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 17280000.

The previous prime is 42141643. The next prime is 42141647. The reversal of 42141645 is 54614124.

42141645 is a `hidden beast` number, since 4 + 2 + 14 + 1 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (42141643) and next prime (42141647).

It is not a de Polignac number, because 42141645 - 2¹ = 42141643 is a prime.

It is a super-3 number, since 3×42141645³ (a number of 24 digits) contains 333 as substring.

Its product of digits (3840) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167770 + ... + 168020.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^42141645 is an apocalyptic number.

42141645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42141645 is an abundant number, since it is smaller than the sum of its proper divisors (50320179).

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

42141645 is a wasteful number, since it uses less digits than its factorization.

42141645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42141645 is about 6491.6596491190. The cubic root of 42141645 is about 347.9929893554.

Adding to 42141645 its reverse (54614124), we get a palindrome (96755769).

The spelling of 42141645 in words is "forty-two million, one hundred forty-one thousand, six hundred forty-five".