242025171480 has 448 divisors, whose sum is σ = 879506496000. Its totient is φ = 59715387648.

The previous prime is 242025171431. The next prime is 242025171491. The reversal of 242025171480 is 84171520242.

242025171480 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 2 + 5 + 171 + 480 = 666.

242025171480 is digitally balanced in base 7, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23818641 + ... + 23828799.

Almost surely, 2^242025171480 is an apocalyptic number.

242025171480 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 242025171480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439753248000).

242025171480 is an abundant number, since it is smaller than the sum of its proper divisors (637481324520).

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

242025171480 is a wasteful number, since it uses less digits than its factorization.

242025171480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 242025171480 in words is "two hundred forty-two billion, twenty-five million, one hundred seventy-one thousand, four hundred eighty".