241055500400 has 480 divisors, whose sum is σ = 721866297600. Its totient is φ = 76048588800.

The previous prime is 241055500349. The next prime is 241055500501. The reversal of 241055500400 is 4005550142.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 241055500400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148890791 + ... + 148892409.

It is an arithmetic number, because the mean of its divisors is an integer number (1503888120).

Almost surely, 2^241055500400 is an apocalyptic number.

241055500400 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 241055500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360933148800).

241055500400 is an abundant number, since it is smaller than the sum of its proper divisors (480810797200).

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

241055500400 is a wasteful number, since it uses less digits than its factorization.

241055500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 241055500400 in words is "two hundred forty-one billion, fifty-five million, five hundred thousand, four hundred".