42050040192 has 256 divisors, whose sum is σ = 131722718400. Its totient is φ = 13160448000.

The previous prime is 42050040187. The next prime is 42050040239. The reversal of 42050040192 is 29104005024.

42050040192 is a `hidden beast` number, since 420 + 50 + 0 + 4 + 0 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41184642 + ... + 41185662.

Almost surely, 2^42050040192 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 42050040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65861359200).

42050040192 is an abundant number, since it is smaller than the sum of its proper divisors (89672678208).

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

42050040192 is a wasteful number, since it uses less digits than its factorization.

42050040192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 42050040192 in words is "forty-two billion, fifty million, forty thousand, one hundred ninety-two".