42269607072 has 288 divisors, whose sum is σ = 154701840384. Its totient is φ = 10624780800.

The previous prime is 42269607067. The next prime is 42269607077. The reversal of 42269607072 is 27070696224.

42269607072 is a `hidden beast` number, since 422 + 6 + 96 + 0 + 70 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (42269607067) and next prime (42269607077).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (42269607077) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 656713 + ... + 718199.

It is an arithmetic number, because the mean of its divisors is an integer number (537159168).

Almost surely, 2^42269607072 is an apocalyptic number.

42269607072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42269607072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77350920192).

42269607072 is an abundant number, since it is smaller than the sum of its proper divisors (112432233312).

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

42269607072 is a wasteful number, since it uses less digits than its factorization.

42269607072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61552 (or 61541 counting only the distinct ones).

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

The spelling of 42269607072 in words is "forty-two billion, two hundred sixty-nine million, six hundred seven thousand, seventy-two".