242414140300 has 72 divisors (see below), whose sum is σ = 535126499712. Its totient is φ = 95293248000.

The previous prime is 242414140271. The next prime is 242414140301. The reversal of 242414140300 is 3041414242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (242414140301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7260645 + ... + 7293955.

It is an arithmetic number, because the mean of its divisors is an integer number (7432312496).

Almost surely, 2^242414140300 is an apocalyptic number.

242414140300 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 242414140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267563249856).

242414140300 is an abundant number, since it is smaller than the sum of its proper divisors (292712359412).

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

242414140300 is a wasteful number, since it uses less digits than its factorization.

242414140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34579 (or 34572 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 242414140300 its reverse (3041414242), we get a palindrome (245455554542).

The spelling of 242414140300 in words is "two hundred forty-two billion, four hundred fourteen million, one hundred forty thousand, three hundred".