4131112241400 has 384 divisors, whose sum is σ = 13315976294400. Its totient is φ = 1058593536000.

The previous prime is 4131112241393. The next prime is 4131112241441. The reversal of 4131112241400 is 41422111314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 993292521 + ... + 993296679.

It is an arithmetic number, because the mean of its divisors is an integer number (34677021600).

Almost surely, 2^{4131112241400} is an apocalyptic number.

4131112241400 is a gapful number since it is divisible by the number (40) 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 4131112241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657988147200).

4131112241400 is an abundant number, since it is smaller than the sum of its proper divisors (9184864053000).

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

4131112241400 is a wasteful number, since it uses less digits than its factorization.

4131112241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4131112241400 its reverse (41422111314), we get a palindrome (4172534352714).

The spelling of 4131112241400 in words is "four trillion, one hundred thirty-one billion, one hundred twelve million, two hundred forty-one thousand, four hundred".