42414021323424 has 36 divisors (see below), whose sum is σ = 120614873139306. Its totient is φ = 14138007107712.

The previous prime is 42414021323389. The next prime is 42414021323437. The reversal of 42414021323424 is 42432312041424.

42414021323424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 402 + 13 + 234 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42374631776400 + 39389547024 = 6509580^2 + 198468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×42414021323424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73635453399 + ... + 73635453974.

Almost surely, 2^{42414021323424} is an apocalyptic number.

It is an amenable number.

42414021323424 is an abundant number, since it is smaller than the sum of its proper divisors (78200851815882).

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

42414021323424 is a wasteful number, since it uses less digits than its factorization.

42414021323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147270907389 (or 147270907378 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42414021323424 its reverse (42432312041424), we get a palindrome (84846333364848).

The spelling of 42414021323424 in words is "forty-two trillion, four hundred fourteen billion, twenty-one million, three hundred twenty-three thousand, four hundred twenty-four".