242975040000 has 1600 divisors, whose sum is σ = 1067670236160. Its totient is φ = 47554560000.

The previous prime is 242975039977. The next prime is 242975040023. The reversal of 242975040000 is 40579242.

242975040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242975039977) and next prime (242975040023).

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1404479914 + ... + 1404480086.

Almost surely, 2^242975040000 is an apocalyptic number.

242975040000 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 242975040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533835118080).

242975040000 is an abundant number, since it is smaller than the sum of its proper divisors (824695196160).

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

242975040000 is a wasteful number, since it uses less digits than its factorization.

242975040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 242975040000 in words is "two hundred forty-two billion, nine hundred seventy-five million, forty thousand".