241120031552400 has 960 divisors, whose sum is σ = 1037494792083456. Its totient is φ = 46229059584000.

The previous prime is 241120031552371. The next prime is 241120031552497. The reversal of 241120031552400 is 4255130021142.

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 191 ways as a sum of consecutive naturals, for example, 2896051572 + ... + 2896134828.

Almost surely, 2^{241120031552400} is an apocalyptic number.

241120031552400 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 241120031552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518747396041728).

241120031552400 is an abundant number, since it is smaller than the sum of its proper divisors (796374760531056).

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

241120031552400 is a wasteful number, since it uses less digits than its factorization.

241120031552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85720 (or 85709 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 241120031552400 its reverse (4255130021142), we get a palindrome (245375161573542).

The spelling of 241120031552400 in words is "two hundred forty-one trillion, one hundred twenty billion, thirty-one million, five hundred fifty-two thousand, four hundred".