241504034141100 has 144 divisors (see below), whose sum is σ = 703628410212000. Its totient is φ = 63951836805120.

The previous prime is 241504034141077. The next prime is 241504034141107. The reversal of 241504034141100 is 1141430405142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (241504034141107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167757562 + ... + 169191038.

It is an arithmetic number, because the mean of its divisors is an integer number (4886308404250).

Almost surely, 2^{241504034141100} is an apocalyptic number.

241504034141100 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 241504034141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351814205106000).

241504034141100 is an abundant number, since it is smaller than the sum of its proper divisors (462124376070900).

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

241504034141100 is a wasteful number, since it uses less digits than its factorization.

241504034141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437412 (or 1437405 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 241504034141100 its reverse (1141430405142), we get a palindrome (242645464546242).

The spelling of 241504034141100 in words is "two hundred forty-one trillion, five hundred four billion, thirty-four million, one hundred forty-one thousand, one hundred".