42153534072 has 96 divisors (see below), whose sum is σ = 123485325600. Its totient is φ = 12913613568.

The previous prime is 42153534053. The next prime is 42153534077. The reversal of 42153534072 is 27043535124.

42153534072 is a `hidden beast` number, since 4 + 2 + 1 + 53 + 534 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42153534077) 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 23 ways as a sum of consecutive naturals, for example, 116013 + ... + 312675.

It is an arithmetic number, because the mean of its divisors is an integer number (1286305475).

Almost surely, 2^42153534072 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 42153534072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61742662800).

42153534072 is an abundant number, since it is smaller than the sum of its proper divisors (81331791528).

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

42153534072 is a wasteful number, since it uses less digits than its factorization.

42153534072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196917 (or 196910 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 42153534072 in words is "forty-two billion, one hundred fifty-three million, five hundred thirty-four thousand, seventy-two".