14400400021020 has 864 divisors, whose sum is σ = 52160073638400. Its totient is φ = 3199407704064.

The previous prime is 14400400020991. The next prime is 14400400021027. The reversal of 14400400021020 is 2012000400441.

14400400021020 is a `hidden beast` number, since 14 + 40 + 0 + 400 + 0 + 210 + 2 + 0 = 666.

14400400021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14400400020984 and 14400400021002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400400021027) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3575960247 + ... + 3575964273.

It is an arithmetic number, because the mean of its divisors is an integer number (60370455600).

Almost surely, 2^{14400400021020} is an apocalyptic number.

14400400021020 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 14400400021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080036819200).

14400400021020 is an abundant number, since it is smaller than the sum of its proper divisors (37759673617380).

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

14400400021020 is a wasteful number, since it uses less digits than its factorization.

14400400021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14400400021020 its reverse (2012000400441), we get a palindrome (16412400421461).

The spelling of 14400400021020 in words is "fourteen trillion, four hundred billion, four hundred million, twenty-one thousand, twenty".