42124354541140 has 12 divisors (see below), whose sum is σ = 88461144536436. Its totient is φ = 16849741816448.

The previous prime is 42124354541107. The next prime is 42124354541147. The reversal of 42124354541140 is 4114545342124.

42124354541140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18483774124176 + 23640580416964 = 4299276^2 + 4862158^2 .

It is a super-4 number, since 4×42124354541140⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42124354541093 and 42124354541102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124354541147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053108863509 + ... + 1053108863548.

It is an arithmetic number, because the mean of its divisors is an integer number (7371762044703).

Almost surely, 2^{42124354541140} is an apocalyptic number.

It is an amenable number.

42124354541140 is an abundant number, since it is smaller than the sum of its proper divisors (46336789995296).

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

42124354541140 is a wasteful number, since it uses less digits than its factorization.

42124354541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106217727066 (or 2106217727064 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 42124354541140 its reverse (4114545342124), we get a palindrome (46238899883264).

The spelling of 42124354541140 in words is "forty-two trillion, one hundred twenty-four billion, three hundred fifty-four million, five hundred forty-one thousand, one hundred forty".