14105251400 has 96 divisors (see below), whose sum is σ = 34269056640. Its totient is φ = 5389148160.

The previous prime is 14105251397. The next prime is 14105251409. The reversal of 14105251400 is 415250141.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (14105251409) 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, 4078472 + ... + 4081928.

It is an arithmetic number, because the mean of its divisors is an integer number (356969340).

Almost surely, 2^14105251400 is an apocalyptic number.

14105251400 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 14105251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134528320).

14105251400 is an abundant number, since it is smaller than the sum of its proper divisors (20163805240).

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

14105251400 is a wasteful number, since it uses less digits than its factorization.

14105251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 14105251400 in words is "fourteen billion, one hundred five million, two hundred fifty-one thousand, four hundred".