42102123463440 has 120 divisors (see below), whose sum is σ = 141438275917848. Its totient is φ = 11223635005440.

The previous prime is 42102123463427. The next prime is 42102123463441. The reversal of 42102123463440 is 4436432120124.

42102123463440 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 2 + 12 + 3 + 4 + 634 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 740143619856 + 41361979843584 = 860316^2 + 6431328^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 42102123463395 and 42102123463404.

It is not an unprimeable number, because it can be changed into a prime (42102123463441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7120899 + ... + 11615138.

Almost surely, 2^{42102123463440} is an apocalyptic number.

42102123463440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102123463440 is an abundant number, since it is smaller than the sum of its proper divisors (99336152454408).

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

42102123463440 is a wasteful number, since it uses less digits than its factorization.

42102123463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18739177 (or 18739168 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42102123463440 its reverse (4436432120124), we get a palindrome (46538555583564).

The spelling of 42102123463440 in words is "forty-two trillion, one hundred two billion, one hundred twenty-three million, four hundred sixty-three thousand, four hundred forty".