242917970198400 has 864 divisors, whose sum is σ = 1028662583828880. Its totient is φ = 55524073881600.

The previous prime is 242917970198341. The next prime is 242917970198419. The reversal of 242917970198400 is 4891079719242.

242917970198400 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 1 + 79 + 70 + 1 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146139960 + ... + 147792840.

Almost surely, 2^{242917970198400} is an apocalyptic number.

242917970198400 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 242917970198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514331291914440).

242917970198400 is an abundant number, since it is smaller than the sum of its proper divisors (785744613630480).

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

242917970198400 is an frugal number, since it uses more digits than its factorization.

242917970198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652936 (or 1652898 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 242917970198400 in words is "two hundred forty-two trillion, nine hundred seventeen billion, nine hundred seventy million, one hundred ninety-eight thousand, four hundred".