242540439063120 has 960 divisors, whose sum is σ = 963030162124800. Its totient is φ = 55635024337920.

The previous prime is 242540439063049. The next prime is 242540439063151. The reversal of 242540439063120 is 21360934045242.

242540439063120 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 4 + 0 + 4 + 3 + 9 + 0 + 631 + 2 + 0 = 666.

242540439063120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 7196388189 + ... + 7196421891.

It is an arithmetic number, because the mean of its divisors is an integer number (1003156418880).

Almost surely, 2^{242540439063120} is an apocalyptic number.

242540439063120 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 242540439063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481515081062400).

242540439063120 is an abundant number, since it is smaller than the sum of its proper divisors (720489723061680).

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

242540439063120 is a wasteful number, since it uses less digits than its factorization.

242540439063120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34613 (or 34582 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 242540439063120 in words is "two hundred forty-two trillion, five hundred forty billion, four hundred thirty-nine million, sixty-three thousand, one hundred twenty".