242694144000 has 2400 divisors, whose sum is σ = 1187538992640. Its totient is φ = 47775744000.

The previous prime is 242694143983. The next prime is 242694144041. The reversal of 242694144000 is 441496242.

It is a happy number.

242694144000 is a `hidden beast` number, since 2 + 426 + 94 + 144 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12773375991 + ... + 12773376009.

Almost surely, 2^242694144000 is an apocalyptic number.

242694144000 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 242694144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593769496320).

242694144000 is an abundant number, since it is smaller than the sum of its proper divisors (944844848640).

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

242694144000 is an equidigital number, since it uses as much as digits as its factorization.

242694144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 242694144000 in words is "two hundred forty-two billion, six hundred ninety-four million, one hundred forty-four thousand".