42272156505600 has 1440 divisors, whose sum is σ = 183389388399360. Its totient is φ = 9083363328000.

The previous prime is 42272156505577. The next prime is 42272156505743. The reversal of 42272156505600 is 650565127224.

42272156505600 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 21 + 5 + 65 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2007119070 + ... + 2007140130.

It is an arithmetic number, because the mean of its divisors is an integer number (127353741944).

Almost surely, 2^{42272156505600} is an apocalyptic number.

42272156505600 is a gapful number since it is divisible by the number (40) 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 42272156505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91694694199680).

42272156505600 is an abundant number, since it is smaller than the sum of its proper divisors (141117231893760).

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

42272156505600 is a wasteful number, since it uses less digits than its factorization.

42272156505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21252 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 42272156505600 in words is "forty-two trillion, two hundred seventy-two billion, one hundred fifty-six million, five hundred five thousand, six hundred".