42816674880 has 672 divisors, whose sum is σ = 177474945024. Its totient is φ = 9262927872.

The previous prime is 42816674869. The next prime is 42816674911. The reversal of 42816674880 is 8847661824.

It is a tau number, because it is divible by the number of its divisors (672).

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, 49613329 + ... + 49614191.

Almost surely, 2^42816674880 is an apocalyptic number.

42816674880 is a gapful number since it is divisible by the number (40) 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 42816674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88737472512).

42816674880 is an abundant number, since it is smaller than the sum of its proper divisors (134658270144).

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

42816674880 is a wasteful number, since it uses less digits than its factorization.

42816674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 42816674880 in words is "forty-two billion, eight hundred sixteen million, six hundred seventy-four thousand, eight hundred eighty".