124240411144400 has 120 divisors (see below), whose sum is σ = 314215780569600. Its totient is φ = 47077831756800.

The previous prime is 124240411144393. The next prime is 124240411144403. The reversal of 124240411144400 is 4441114042421.

It is a super-2 number, since 2×124240411144400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124240411144403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132311756 + ... + 133247444.

It is an arithmetic number, because the mean of its divisors is an integer number (2618464838080).

Almost surely, 2^{124240411144400} is an apocalyptic number.

124240411144400 is a gapful number since it is divisible by the number (10) 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 124240411144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157107890284800).

124240411144400 is an abundant number, since it is smaller than the sum of its proper divisors (189975369425200).

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

124240411144400 is a wasteful number, since it uses less digits than its factorization.

124240411144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953197 (or 953186 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 124240411144400 its reverse (4441114042421), we get a palindrome (128681525186821).

The spelling of 124240411144400 in words is "one hundred twenty-four trillion, two hundred forty billion, four hundred eleven million, one hundred forty-four thousand, four hundred".