241145034020400 has 480 divisors, whose sum is σ = 822734483765760. Its totient is φ = 60166268764160.

The previous prime is 241145034020399. The next prime is 241145034020413. The reversal of 241145034020400 is 4020430541142.

241145034020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3135013141 + ... + 3135090059.

It is an arithmetic number, because the mean of its divisors is an integer number (1714030174512).

Almost surely, 2^{241145034020400} is an apocalyptic number.

241145034020400 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 241145034020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411367241882880).

241145034020400 is an abundant number, since it is smaller than the sum of its proper divisors (581589449745360).

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

241145034020400 is a wasteful number, since it uses less digits than its factorization.

241145034020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77861 (or 77850 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 241145034020400 its reverse (4020430541142), we get a palindrome (245165464561542).

The spelling of 241145034020400 in words is "two hundred forty-one trillion, one hundred forty-five billion, thirty-four million, twenty thousand, four hundred".