14400550120 has 128 divisors (see below), whose sum is σ = 35785411200. Its totient is φ = 5172019200.

The previous prime is 14400550081. The next prime is 14400550159. The reversal of 14400550120 is 2105500441.

It is an interprime number because it is at equal distance from previous prime (14400550081) and next prime (14400550159).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14400550091 and 14400550100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14739072 + ... + 14740048.

It is an arithmetic number, because the mean of its divisors is an integer number (279573525).

Almost surely, 2^14400550120 is an apocalyptic number.

14400550120 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 14400550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892705600).

14400550120 is an abundant number, since it is smaller than the sum of its proper divisors (21384861080).

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

14400550120 is a wasteful number, since it uses less digits than its factorization.

14400550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 14400550120 in words is "fourteen billion, four hundred million, five hundred fifty thousand, one hundred twenty".