242277420000 has 720 divisors, whose sum is σ = 995163345792. Its totient is φ = 50123520000.

The previous prime is 242277419957. The next prime is 242277420013. The reversal of 242277420000 is 24772242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 242277420000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1057979886 + ... + 1057980114.

Almost surely, 2^242277420000 is an apocalyptic number.

242277420000 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 242277420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497581672896).

242277420000 is an abundant number, since it is smaller than the sum of its proper divisors (752885925792).

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

242277420000 is an equidigital number, since it uses as much as digits as its factorization.

242277420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The spelling of 242277420000 in words is "two hundred forty-two billion, two hundred seventy-seven million, four hundred twenty thousand".