42919595712 has 280 divisors, whose sum is σ = 146826890496. Its totient is φ = 12142628352.

The previous prime is 42919595707. The next prime is 42919595801. The reversal of 42919595712 is 21759591924.

It is a happy number.

42919595712 is a `hidden beast` number, since 4 + 2 + 9 + 19 + 59 + 571 + 2 = 666.

42919595712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3731923 + ... + 3743405.

Almost surely, 2^42919595712 is an apocalyptic number.

42919595712 is a gapful number since it is divisible by the number (42) 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 42919595712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73413445248).

42919595712 is an abundant number, since it is smaller than the sum of its proper divisors (103907294784).

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

42919595712 is a wasteful number, since it uses less digits than its factorization.

42919595712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11617 (or 11598 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 42919595712 in words is "forty-two billion, nine hundred nineteen million, five hundred ninety-five thousand, seven hundred twelve".