42916752488736 has 288 divisors, whose sum is σ = 142022477076480. Its totient is φ = 12039558778368.

The previous prime is 42916752488699. The next prime is 42916752488759. The reversal of 42916752488736 is 63788425761924.

42916752488736 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 6 + 75 + 2 + 488 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 40949625 + ... + 41984583.

It is an arithmetic number, because the mean of its divisors is an integer number (493133600960).

Almost surely, 2^{42916752488736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42916752488736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71011238538240).

42916752488736 is an abundant number, since it is smaller than the sum of its proper divisors (99105724587744).

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

42916752488736 is a wasteful number, since it uses less digits than its factorization.

42916752488736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035356 (or 1035345 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 42916752488736 in words is "forty-two trillion, nine hundred sixteen billion, seven hundred fifty-two million, four hundred eighty-eight thousand, seven hundred thirty-six".