242935306380000 has 1440 divisors, whose sum is σ = 1015170978175200. Its totient is φ = 56281485312000.

The previous prime is 242935306379999. The next prime is 242935306380029. The reversal of 242935306380000 is 83603539242.

242935306380000 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 3 + 5 + 3 + 0 + 638 + 0 + 0 + 0 + 0 = 666.

242935306380000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1551341706 + ... + 1551498294.

It is an arithmetic number, because the mean of its divisors is an integer number (704979845955).

Almost surely, 2^{242935306380000} is an apocalyptic number.

242935306380000 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 242935306380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507585489087600).

242935306380000 is an abundant number, since it is smaller than the sum of its proper divisors (772235671795200).

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

242935306380000 is a wasteful number, since it uses less digits than its factorization.

242935306380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156671 (or 156629 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 242935306380000 in words is "two hundred forty-two trillion, nine hundred thirty-five billion, three hundred six million, three hundred eighty thousand".