42066148772736 has 1152 divisors, whose sum is σ = 144367068268800. Its totient is φ = 11627255808000.

The previous prime is 42066148772663. The next prime is 42066148772749. The reversal of 42066148772736 is 63727784166024.

42066148772736 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 614 + 8 + 7 + 7 + 2 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 65017231165 + ... + 65017231811.

It is an arithmetic number, because the mean of its divisors is an integer number (125318635650).

Almost surely, 2^{42066148772736} 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 42066148772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72183534134400).

42066148772736 is an abundant number, since it is smaller than the sum of its proper divisors (102300919496064).

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

42066148772736 is a wasteful number, since it uses less digits than its factorization.

42066148772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 42066148772736 in words is "forty-two trillion, sixty-six billion, one hundred forty-eight million, seven hundred seventy-two thousand, seven hundred thirty-six".