42120223444240 has 40 divisors (see below), whose sum is σ = 97945540523928. Its totient is φ = 16845333073920.

The previous prime is 42120223444199. The next prime is 42120223444289. The reversal of 42120223444240 is 4244432202124.

It can be written as a sum of positive squares in 4 ways, for example, as 798401536 + 42119425042704 = 28256^2 + 6489948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42120223444240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42120223444196 and 42120223444205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42575151 + ... + 43553230.

Almost surely, 2^{42120223444240} is an apocalyptic number.

42120223444240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120223444240 is an abundant number, since it is smaller than the sum of its proper divisors (55825317079688).

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

42120223444240 is a wasteful number, since it uses less digits than its factorization.

42120223444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86134507 (or 86134501 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 42120223444240 its reverse (4244432202124), we get a palindrome (46364655646364).

The spelling of 42120223444240 in words is "forty-two trillion, one hundred twenty billion, two hundred twenty-three million, four hundred forty-four thousand, two hundred forty".