42784955136 has 576 divisors, whose sum is σ = 166083993600. Its totient is φ = 10525593600.

The previous prime is 42784955123. The next prime is 42784955203. The reversal of 42784955136 is 63155948724.

It is a happy number.

42784955136 is a `hidden beast` number, since 4 + 2 + 7 + 84 + 9 + 551 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 63 ways as a sum of consecutive naturals, for example, 10110141 + ... + 10114371.

Almost surely, 2^42784955136 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 42784955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83041996800).

42784955136 is an abundant number, since it is smaller than the sum of its proper divisors (123299038464).

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

42784955136 is a wasteful number, since it uses less digits than its factorization.

42784955136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4273 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 42784955136 in words is "forty-two billion, seven hundred eighty-four million, nine hundred fifty-five thousand, one hundred thirty-six".