42112081440 has 960 divisors, whose sum is σ = 180481416192. Its totient is φ = 9107251200.

The previous prime is 42112081391. The next prime is 42112081447. The reversal of 42112081440 is 4418021124.

42112081440 is a `hidden beast` number, since 4 + 2 + 11 + 208 + 1 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42112081447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57451314 + ... + 57452046.

Almost surely, 2^42112081440 is an apocalyptic number.

42112081440 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 42112081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90240708096).

42112081440 is an abundant number, since it is smaller than the sum of its proper divisors (138369334752).

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

42112081440 is a wasteful number, since it uses less digits than its factorization.

42112081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 42112081440 in words is "forty-two billion, one hundred twelve million, eighty-one thousand, four hundred forty".