241132112414400 has 336 divisors, whose sum is σ = 795590671366656. Its totient is φ = 63938432839680.

The previous prime is 241132112414381. The next prime is 241132112414411. The reversal of 241132112414400 is 4414211231142.

It is a super-3 number, since 3×241132112414400³ (a number of 44 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1651890217 + ... + 1652036183.

Almost surely, 2^{241132112414400} is an apocalyptic number.

241132112414400 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 241132112414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397795335683328).

241132112414400 is an abundant number, since it is smaller than the sum of its proper divisors (554458558952256).

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

241132112414400 is a wasteful number, since it uses less digits than its factorization.

241132112414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147936 (or 147921 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 241132112414400 its reverse (4414211231142), we get a palindrome (245546323645542).

The spelling of 241132112414400 in words is "two hundred forty-one trillion, one hundred thirty-two billion, one hundred twelve million, four hundred fourteen thousand, four hundred".