4112121413400 has 768 divisors, whose sum is σ = 17285343667200. Its totient is φ = 780917760000.

The previous prime is 4112121413377. The next prime is 4112121413417. The reversal of 4112121413400 is 43141212114.

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 191 ways as a sum of consecutive naturals, for example, 60626706 + ... + 60694494.

It is an arithmetic number, because the mean of its divisors is an integer number (22506957900).

Almost surely, 2^{4112121413400} is an apocalyptic number.

4112121413400 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 4112121413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642671833600).

4112121413400 is an abundant number, since it is smaller than the sum of its proper divisors (13173222253800).

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

4112121413400 is a wasteful number, since it uses less digits than its factorization.

4112121413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67940 (or 67931 counting only the distinct ones).

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

Adding to 4112121413400 its reverse (43141212114), we get a palindrome (4155262625514).

The spelling of 4112121413400 in words is "four trillion, one hundred twelve billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred".