242427020157504 has 1050 divisors, whose sum is σ = 907808456255250. Its totient is φ = 63936241754112.

The previous prime is 242427020157481. The next prime is 242427020157521. The reversal of 242427020157504 is 405751020724242.

242427020157504 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 2 + 70 + 2 + 0 + 1 + 575 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3642937187904 + 238784082969600 = 1908648^2 + 15452640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242427020157504.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 2103448872 + ... + 2103564120.

Almost surely, 2^{242427020157504} is an apocalyptic number.

242427020157504 is a gapful number since it is divisible by the number (24) 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 242427020157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453904228127625).

242427020157504 is an abundant number, since it is smaller than the sum of its proper divisors (665381436097746).

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

242427020157504 is an equidigital number, since it uses as much as digits as its factorization.

242427020157504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115327 (or 115274 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

The spelling of 242427020157504 in words is "two hundred forty-two trillion, four hundred twenty-seven billion, twenty million, one hundred fifty-seven thousand, five hundred four".