14121167400 has 336 divisors, whose sum is σ = 51377470560. Its totient is φ = 3601065600.

The previous prime is 14121167383. The next prime is 14121167407. The reversal of 14121167400 is 476112141.

14121167400 is a `hidden beast` number, since 1 + 41 + 211 + 6 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14121167407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3351295 + ... + 3355505.

Almost surely, 2^14121167400 is an apocalyptic number.

14121167400 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 14121167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25688735280).

14121167400 is an abundant number, since it is smaller than the sum of its proper divisors (37256303160).

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

14121167400 is a wasteful number, since it uses less digits than its factorization.

14121167400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 14121167400 its reverse (476112141), we get a palindrome (14597279541).

The spelling of 14121167400 in words is "fourteen billion, one hundred twenty-one million, one hundred sixty-seven thousand, four hundred".