42312375548928 has 1056 divisors, whose sum is σ = 138344309655552. Its totient is φ = 12391258521600.

The previous prime is 42312375548867. The next prime is 42312375548951. The reversal of 42312375548928 is 82984557321324.

42312375548928 is a `hidden beast` number, since 4 + 2 + 3 + 12 + 3 + 75 + 548 + 9 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17334032188 + ... + 17334034628.

It is an arithmetic number, because the mean of its divisors is an integer number (131007868992).

Almost surely, 2^{42312375548928} is an apocalyptic number.

42312375548928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312375548928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69172154827776).

42312375548928 is an abundant number, since it is smaller than the sum of its proper divisors (96031934106624).

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

42312375548928 is a wasteful number, since it uses less digits than its factorization.

42312375548928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2620 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 42312375548928 in words is "forty-two trillion, three hundred twelve billion, three hundred seventy-five million, five hundred forty-eight thousand, nine hundred twenty-eight".