42120241524816 has 80 divisors (see below), whose sum is σ = 133920767938944. Its totient is φ = 11108635126272.

The previous prime is 42120241524763. The next prime is 42120241524841. The reversal of 42120241524816 is 61842514202124.

It is a happy number.

It is a super-2 number, since 2×42120241524816² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4821451851 + ... + 4821460586.

Almost surely, 2^{42120241524816} is an apocalyptic number.

It is an amenable number.

42120241524816 is an abundant number, since it is smaller than the sum of its proper divisors (91800526414128).

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

42120241524816 is a wasteful number, since it uses less digits than its factorization.

42120241524816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642912468 (or 9642912462 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 42120241524816 in words is "forty-two trillion, one hundred twenty billion, two hundred forty-one million, five hundred twenty-four thousand, eight hundred sixteen".