242198787336000 has 896 divisors, whose sum is σ = 912740495966208. Its totient is φ = 56063887360000.

The previous prime is 242198787335971. The next prime is 242198787336061. The reversal of 242198787336000 is 633787891242.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508489957 + ... + 508966043.

It is an arithmetic number, because the mean of its divisors is an integer number (1018683589248).

Almost surely, 2^{242198787336000} is an apocalyptic number.

242198787336000 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 242198787336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456370247983104).

242198787336000 is an abundant number, since it is smaller than the sum of its proper divisors (670541708630208).

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

242198787336000 is a wasteful number, since it uses less digits than its factorization.

242198787336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476216 (or 476196 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 242198787336000 in words is "two hundred forty-two trillion, one hundred ninety-eight billion, seven hundred eighty-seven million, three hundred thirty-six thousand".