42066777720 has 192 divisors, whose sum is σ = 139268172960. Its totient is φ = 10157424640.

The previous prime is 42066777691. The next prime is 42066777721. The reversal of 42066777720 is 2777766024.

It is a super-2 number, since 2×42066777720² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42066777720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42066777721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3726004 + ... + 3737276.

Almost surely, 2^42066777720 is an apocalyptic number.

42066777720 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 42066777720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69634086480).

42066777720 is an abundant number, since it is smaller than the sum of its proper divisors (97201395240).

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

42066777720 is a wasteful number, since it uses less digits than its factorization.

42066777720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The spelling of 42066777720 in words is "forty-two billion, sixty-six million, seven hundred seventy-seven thousand, seven hundred twenty".