42209168260320 has 480 divisors, whose sum is σ = 153058383789696. Its totient is φ = 10946617344000.

The previous prime is 42209168260279. The next prime is 42209168260321. The reversal of 42209168260320 is 2306286190224.

42209168260320 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 9 + 1 + 68 + 260 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×42209168260320² (a number of 28 digits) contains 22 as substring.

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 (42209168260321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1127332800 + ... + 1127370240.

Almost surely, 2^{42209168260320} is an apocalyptic number.

42209168260320 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 42209168260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76529191894848).

42209168260320 is an abundant number, since it is smaller than the sum of its proper divisors (110849215529376).

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

42209168260320 is a wasteful number, since it uses less digits than its factorization.

42209168260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39856 (or 39839 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42209168260320 in words is "forty-two trillion, two hundred nine billion, one hundred sixty-eight million, two hundred sixty thousand, three hundred twenty".