242353126080 has 672 divisors, whose sum is σ = 953671065984. Its totient is φ = 55961321472.

The previous prime is 242353126069. The next prime is 242353126111. The reversal of 242353126080 is 80621353242.

242353126080 is a `hidden beast` number, since 2 + 4 + 2 + 35 + 3 + 12 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320149062 + ... + 320149818.

It is an arithmetic number, because the mean of its divisors is an integer number (1419153372).

Almost surely, 2^242353126080 is an apocalyptic number.

242353126080 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 242353126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476835532992).

242353126080 is an abundant number, since it is smaller than the sum of its proper divisors (711317939904).

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

242353126080 is a wasteful number, since it uses less digits than its factorization.

242353126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 242353126080 in words is "two hundred forty-two billion, three hundred fifty-three million, one hundred twenty-six thousand, eighty".