241030040400 has 360 divisors, whose sum is σ = 888720037920. Its totient is φ = 60320885760.

The previous prime is 241030040341. The next prime is 241030040417. The reversal of 241030040400 is 4040030142.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7302334 + ... + 7335266.

It is an arithmetic number, because the mean of its divisors is an integer number (2468666772).

Almost surely, 2^241030040400 is an apocalyptic number.

241030040400 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 241030040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444360018960).

241030040400 is an abundant number, since it is smaller than the sum of its proper divisors (647689997520).

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

241030040400 is a wasteful number, since it uses less digits than its factorization.

241030040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33083 (or 33069 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 241030040400 its reverse (4040030142), we get a palindrome (245070070542).

The spelling of 241030040400 in words is "two hundred forty-one billion, thirty million, forty thousand, four hundred".