14400105000 has 320 divisors, whose sum is σ = 48078360000. Its totient is φ = 3580416000.

The previous prime is 14400104977. The next prime is 14400105001. The reversal of 14400105000 is 50100441.

It is a super-2 number, since 2×14400105000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (14400105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37994811 + ... + 37995189.

It is an arithmetic number, because the mean of its divisors is an integer number (150244875).

Almost surely, 2^14400105000 is an apocalyptic number.

14400105000 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 14400105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24039180000).

14400105000 is an abundant number, since it is smaller than the sum of its proper divisors (33678255000).

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

14400105000 is a wasteful number, since it uses less digits than its factorization.

14400105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14400105000 its reverse (50100441), we get a palindrome (14450205441).

The spelling of 14400105000 in words is "fourteen billion, four hundred million, one hundred five thousand".