42616556811136 has 128 divisors (see below), whose sum is σ = 112076010236160. Its totient is φ = 15627155988480.

The previous prime is 42616556811079. The next prime is 42616556811209. The reversal of 42616556811136 is 63111865561624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×42616556811136³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127006570 + ... + 127341673.

It is an arithmetic number, because the mean of its divisors is an integer number (875593829970).

Almost surely, 2^{42616556811136} is an apocalyptic number.

It is an amenable number.

42616556811136 is an abundant number, since it is smaller than the sum of its proper divisors (69459453425024).

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

42616556811136 is a wasteful number, since it uses less digits than its factorization.

42616556811136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254348292 (or 254348280 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 55.

The spelling of 42616556811136 in words is "forty-two trillion, six hundred sixteen billion, five hundred fifty-six million, eight hundred eleven thousand, one hundred thirty-six".