42011542252160 has 64 divisors (see below), whose sum is σ = 108159523463880. Its totient is φ = 15511954059264.

The previous prime is 42011542252129. The next prime is 42011542252171. The reversal of 42011542252160 is 6125224511024.

It can be written as a sum of positive squares in 4 ways, for example, as 15644303162944 + 26367239089216 = 3955288^2 + 5134904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42011542252160.

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 7 ways as a sum of consecutive naturals, for example, 2524723787 + ... + 2524740426.

Almost surely, 2^{42011542252160} is an apocalyptic number.

42011542252160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42011542252160 is an abundant number, since it is smaller than the sum of its proper divisors (66147981211720).

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

42011542252160 is a wasteful number, since it uses less digits than its factorization.

42011542252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049464245 (or 5049464233 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 42011542252160 its reverse (6125224511024), we get a palindrome (48136766763184).

The spelling of 42011542252160 in words is "forty-two trillion, eleven billion, five hundred forty-two million, two hundred fifty-two thousand, one hundred sixty".