42273544021632 has 2048 divisors, whose sum is σ = 169028939980800. Its totient is φ = 10065712250880.

The previous prime is 42273544021627. The next prime is 42273544021633. The reversal of 42273544021632 is 23612044537224.

It is a happy number.

42273544021632 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 3 + 5 + 4 + 4 + 0 + 2 + 1 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (42273544021633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37643404623 + ... + 37643405745.

It is an arithmetic number, because the mean of its divisors is an integer number (82533662100).

Almost surely, 2^{42273544021632} is an apocalyptic number.

42273544021632 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 42273544021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84514469990400).

42273544021632 is an abundant number, since it is smaller than the sum of its proper divisors (126755395959168).

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

42273544021632 is a wasteful number, since it uses less digits than its factorization.

42273544021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 42273544021632 its reverse (23612044537224), we get a palindrome (65885588558856).

The spelling of 42273544021632 in words is "forty-two trillion, two hundred seventy-three billion, five hundred forty-four million, twenty-one thousand, six hundred thirty-two".