42287973654528 has 896 divisors, whose sum is σ = 146263146071040. Its totient is φ = 11825452154880.

The previous prime is 42287973654397. The next prime is 42287973654529. The reversal of 42287973654528 is 82545637978224.

It is a happy number.

42287973654528 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 7 + 9 + 73 + 6 + 545 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42287973654529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15484426923 + ... + 15484429653.

Almost surely, 2^{42287973654528} is an apocalyptic number.

42287973654528 is a gapful number since it is divisible by the number (48) 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 42287973654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73131573035520).

42287973654528 is an abundant number, since it is smaller than the sum of its proper divisors (103975172416512).

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

42287973654528 is a wasteful number, since it uses less digits than its factorization.

42287973654528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2953 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 42287973654528 in words is "forty-two trillion, two hundred eighty-seven billion, nine hundred seventy-three million, six hundred fifty-four thousand, five hundred twenty-eight".