242924434542720 has 6144 divisors, whose sum is σ = 1181775329280000. Its totient is φ = 47279067365376.

The previous prime is 242924434542709. The next prime is 242924434542733. The reversal of 242924434542720 is 27245434429242.

242924434542720 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 2 + 44 + 34 + 542 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 396287821134 + ... + 396287821746.

It is an arithmetic number, because the mean of its divisors is an integer number (192346245000).

Almost surely, 2^{242924434542720} is an apocalyptic number.

242924434542720 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 242924434542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590887664640000).

242924434542720 is an abundant number, since it is smaller than the sum of its proper divisors (938850894737280).

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

242924434542720 is a wasteful number, since it uses less digits than its factorization.

242924434542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 54.

The spelling of 242924434542720 in words is "two hundred forty-two trillion, nine hundred twenty-four billion, four hundred thirty-four million, five hundred forty-two thousand, seven hundred twenty".