242217869400 has 768 divisors, whose sum is σ = 917524608000. Its totient is φ = 58375987200.

The previous prime is 242217869393. The next prime is 242217869407. The reversal of 242217869400 is 4968712242.

242217869400 is a `hidden beast` number, since 24 + 2 + 217 + 8 + 6 + 9 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (242217869393) and next prime (242217869407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242217869407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1005053280 + ... + 1005053520.

It is an arithmetic number, because the mean of its divisors is an integer number (1194693500).

Almost surely, 2^242217869400 is an apocalyptic number.

242217869400 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 242217869400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458762304000).

242217869400 is an abundant number, since it is smaller than the sum of its proper divisors (675306738600).

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

242217869400 is a wasteful number, since it uses less digits than its factorization.

242217869400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 242217869400 in words is "two hundred forty-two billion, two hundred seventeen million, eight hundred sixty-nine thousand, four hundred".