42145120032282 has 32 divisors (see below), whose sum is σ = 93656114193600. Its totient is φ = 14048329559184.

The previous prime is 42145120032269. The next prime is 42145120032283. The reversal of 42145120032282 is 28223002154124.

42145120032282 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 51 + 200 + 322 + 82 = 666.

It is a super-2 number, since 2×42145120032282² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42145120032283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19510593 + ... + 21562779.

It is an arithmetic number, because the mean of its divisors is an integer number (2926753568550).

Almost surely, 2^{42145120032282} is an apocalyptic number.

42145120032282 is an abundant number, since it is smaller than the sum of its proper divisors (51510994161318).

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

42145120032282 is a wasteful number, since it uses less digits than its factorization.

42145120032282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432507 (or 2432501 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42145120032282 in words is "forty-two trillion, one hundred forty-five billion, one hundred twenty million, thirty-two thousand, two hundred eighty-two".