241925270342040 has 288 divisors, whose sum is σ = 792783728689680. Its totient is φ = 63982261615104.

The previous prime is 241925270342017. The next prime is 241925270342047. The reversal of 241925270342040 is 40243072529142.

241925270342040 is a `hidden beast` number, since 2 + 4 + 1 + 92 + 527 + 0 + 34 + 2 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241925270342047) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 21152855202 + ... + 21152866638.

Almost surely, 2^{241925270342040} is an apocalyptic number.

241925270342040 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 241925270342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396391864344840).

241925270342040 is an abundant number, since it is smaller than the sum of its proper divisors (550858458347640).

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

241925270342040 is a wasteful number, since it uses less digits than its factorization.

241925270342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 241925270342040 in words is "two hundred forty-one trillion, nine hundred twenty-five billion, two hundred seventy million, three hundred forty-two thousand, forty".