42121142784 has 240 divisors, whose sum is σ = 140613625152. Its totient is φ = 11888861184.

The previous prime is 42121142747. The next prime is 42121142803. The reversal of 42121142784 is 48724112124.

It is a happy number.

42121142784 is a `hidden beast` number, since 4 + 212 + 11 + 427 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2669382 + ... + 2685114.

Almost surely, 2^42121142784 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 42121142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70306812576).

42121142784 is an abundant number, since it is smaller than the sum of its proper divisors (98492482368).

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

42121142784 is a wasteful number, since it uses less digits than its factorization.

42121142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15828 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The spelling of 42121142784 in words is "forty-two billion, one hundred twenty-one million, one hundred forty-two thousand, seven hundred eighty-four".