242162680320000 has 3120 divisors, whose sum is σ = 1013095713197568. Its totient is φ = 57271173120000.

The previous prime is 242162680319981. The next prime is 242162680320007. The reversal of 242162680320000 is 23086261242.

242162680320000 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 626 + 8 + 0 + 3 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242162680320007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 294243839589 + ... + 294243840411.

Almost surely, 2^{242162680320000} is an apocalyptic number.

242162680320000 is a gapful number since it is divisible by the number (20) 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 242162680320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506547856598784).

242162680320000 is an abundant number, since it is smaller than the sum of its proper divisors (770933032877568).

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

242162680320000 is an frugal number, since it uses more digits than its factorization.

242162680320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 242162680320000 in words is "two hundred forty-two trillion, one hundred sixty-two billion, six hundred eighty million, three hundred twenty thousand".