42272155961568 has 2304 divisors, whose sum is σ = 154397021184000. Its totient is φ = 11122384306176.

The previous prime is 42272155961537. The next prime is 42272155961569. The reversal of 42272155961568 is 86516955127224.

42272155961568 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 2 + 1 + 5 + 5 + 9 + 61 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272155961569) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 474968044468 + ... + 474968044556.

It is an arithmetic number, because the mean of its divisors is an integer number (67012596000).

Almost surely, 2^{42272155961568} is an apocalyptic number.

42272155961568 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 42272155961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77198510592000).

42272155961568 is an abundant number, since it is smaller than the sum of its proper divisors (112124865222432).

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

42272155961568 is a wasteful number, since it uses less digits than its factorization.

42272155961568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 263 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 42272155961568 in words is "forty-two trillion, two hundred seventy-two billion, one hundred fifty-five million, nine hundred sixty-one thousand, five hundred sixty-eight".