42422395680000 has 4320 divisors, whose sum is σ = 196552611230976. Its totient is φ = 8902213632000.

The previous prime is 42422395679981. The next prime is 42422395680013. The reversal of 42422395680000 is 8659322424.

42422395680000 is a `hidden beast` number, since 42 + 42 + 2 + 3 + 9 + 568 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 245216159914 + ... + 245216160086.

Almost surely, 2^{42422395680000} is an apocalyptic number.

42422395680000 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 42422395680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98276305615488).

42422395680000 is an abundant number, since it is smaller than the sum of its proper divisors (154130215550976).

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

42422395680000 is an equidigital number, since it uses as much as digits as its factorization.

42422395680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42422395680000 in words is "forty-two trillion, four hundred twenty-two billion, three hundred ninety-five million, six hundred eighty thousand".