14213020141440 has 1152 divisors, whose sum is σ = 53988327619200. Its totient is φ = 3432988016640.

The previous prime is 14213020141379. The next prime is 14213020141451. The reversal of 14213020141440 is 4414102031241.

14213020141440 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 0 + 201 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13003677534 + ... + 13003678626.

It is an arithmetic number, because the mean of its divisors is an integer number (46864867725).

Almost surely, 2^{14213020141440} is an apocalyptic number.

14213020141440 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 14213020141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26994163809600).

14213020141440 is an abundant number, since it is smaller than the sum of its proper divisors (39775307477760).

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

14213020141440 is a wasteful number, since it uses less digits than its factorization.

14213020141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14213020141440 its reverse (4414102031241), we get a palindrome (18627122172681).

The spelling of 14213020141440 in words is "fourteen trillion, two hundred thirteen billion, twenty million, one hundred forty-one thousand, four hundred forty".