42090177780 has 216 divisors, whose sum is σ = 149884174440. Its totient is φ = 9532131840.

The previous prime is 42090177761. The next prime is 42090177791. The reversal of 42090177780 is 8777109024.

It is a happy number.

42090177780 is a `hidden beast` number, since 420 + 90 + 1 + 77 + 78 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20307960036 + 21782217744 = 142506^2 + 147588^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 939490 + ... + 983270.

It is an arithmetic number, because the mean of its divisors is an integer number (693908215).

Almost surely, 2^42090177780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42090177780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74942087220).

42090177780 is an abundant number, since it is smaller than the sum of its proper divisors (107793996660).

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

42090177780 is a wasteful number, since it uses less digits than its factorization.

42090177780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43919 (or 43907 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 42090177780 in words is "forty-two billion, ninety million, one hundred seventy-seven thousand, seven hundred eighty".