42172768493280 has 1920 divisors, whose sum is σ = 169530641280000. Its totient is φ = 9816641372160.

The previous prime is 42172768493237. The next prime is 42172768493341. The reversal of 42172768493280 is 8239486727124.

It is a happy number.

42172768493280 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 2 + 7 + 68 + 493 + 2 + 80 = 666.

42172768493280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29512083606 + ... + 29512085034.

It is an arithmetic number, because the mean of its divisors is an integer number (88297209000).

Almost surely, 2^{42172768493280} is an apocalyptic number.

42172768493280 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 42172768493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84765320640000).

42172768493280 is an abundant number, since it is smaller than the sum of its proper divisors (127357872786720).

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

42172768493280 is a wasteful number, since it uses less digits than its factorization.

42172768493280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 42172768493280 in words is "forty-two trillion, one hundred seventy-two billion, seven hundred sixty-eight million, four hundred ninety-three thousand, two hundred eighty".