12410141400 has 144 divisors (see below), whose sum is σ = 41717754000. Its totient is φ = 3306167040.

The previous prime is 12410141369. The next prime is 12410141437. The reversal of 12410141400 is 414101421.

12410141400 is a `hidden beast` number, since 124 + 1 + 0 + 141 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2295901 + ... + 2301299.

It is an arithmetic number, because the mean of its divisors is an integer number (289706625).

Almost surely, 2^12410141400 is an apocalyptic number.

12410141400 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 12410141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858877000).

12410141400 is an abundant number, since it is smaller than the sum of its proper divisors (29307612600).

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

12410141400 is a wasteful number, since it uses less digits than its factorization.

12410141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12410141400 its reverse (414101421), we get a palindrome (12824242821).

The spelling of 12410141400 in words is "twelve billion, four hundred ten million, one hundred forty-one thousand, four hundred".