42791112000 has 1344 divisors, whose sum is σ = 197308500480. Its totient is φ = 8999424000.

The previous prime is 42791111999. The next prime is 42791112011. The reversal of 42791112000 is 21119724.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137591845 + ... + 137592155.

It is an arithmetic number, because the mean of its divisors is an integer number (146806920).

Almost surely, 2^42791112000 is an apocalyptic number.

42791112000 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 42791112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654250240).

42791112000 is an abundant number, since it is smaller than the sum of its proper divisors (154517388480).

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

42791112000 is a wasteful number, since it uses less digits than its factorization.

42791112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 42791112000 in words is "forty-two billion, seven hundred ninety-one million, one hundred twelve thousand".