42272635248000 has 192 divisors, whose sum is σ = 151811601851520. Its totient is φ = 11272702694400.

The previous prime is 42272635247989. The next prime is 42272635248001. The reversal of 42272635248000 is 84253627224.

42272635248000 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 2 + 635 + 2 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272635248001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146635984 + ... + 146923983.

It is an arithmetic number, because the mean of its divisors is an integer number (790685426310).

Almost surely, 2^{42272635248000} is an apocalyptic number.

42272635248000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42272635248000 is an abundant number, since it is smaller than the sum of its proper divisors (109538966603520).

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

42272635248000 is a wasteful number, since it uses less digits than its factorization.

42272635248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293560002 (or 293559977 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42272635248000 in words is "forty-two trillion, two hundred seventy-two billion, six hundred thirty-five million, two hundred forty-eight thousand".