42136729740 has 432 divisors, whose sum is σ = 156854880000. Its totient is φ = 9464853888.

The previous prime is 42136729727. The next prime is 42136729741. The reversal of 42136729740 is 4792763124.

42136729740 is a `hidden beast` number, since 421 + 36 + 72 + 97 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42136729741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14048761 + ... + 14051759.

It is an arithmetic number, because the mean of its divisors is an integer number (363090000).

Almost surely, 2^42136729740 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 42136729740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440000).

42136729740 is an abundant number, since it is smaller than the sum of its proper divisors (114718150260).

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

42136729740 is a wasteful number, since it uses less digits than its factorization.

42136729740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 42136729740 in words is "forty-two billion, one hundred thirty-six million, seven hundred twenty-nine thousand, seven hundred forty".