241442004434000 has 160 divisors (see below), whose sum is σ = 588653367692832. Its totient is φ = 95777410560000.

The previous prime is 241442004433979. The next prime is 241442004434017. The reversal of 241442004434000 is 434400244142.

241442004434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 203483491975696 + 37958512458304 = 14264764^2 + 6161048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162856070 + ... + 164331930.

Almost surely, 2^{241442004434000} is an apocalyptic number.

241442004434000 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 241442004434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294326683846416).

241442004434000 is an abundant number, since it is smaller than the sum of its proper divisors (347211363258832).

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

241442004434000 is a wasteful number, since it uses less digits than its factorization.

241442004434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476562 (or 1476546 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 241442004434000 its reverse (434400244142), we get a palindrome (241876404678142).

The spelling of 241442004434000 in words is "two hundred forty-one trillion, four hundred forty-two billion, four million, four hundred thirty-four thousand".