242291362179900 has 1728 divisors, whose sum is σ = 852847814246400. Its totient is φ = 52895082240000.

The previous prime is 242291362179799. The next prime is 242291362179901. The reversal of 242291362179900 is 9971263192242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242291362179901) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 145171576266 + ... + 145171577934.

It is an arithmetic number, because the mean of its divisors is an integer number (493546188800).

Almost surely, 2^{242291362179900} is an apocalyptic number.

242291362179900 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 242291362179900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426423907123200).

242291362179900 is an abundant number, since it is smaller than the sum of its proper divisors (610556452066500).

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

242291362179900 is a wasteful number, since it uses less digits than its factorization.

242291362179900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 242291362179900 in words is "two hundred forty-two trillion, two hundred ninety-one billion, three hundred sixty-two million, one hundred seventy-nine thousand, nine hundred".