14465428885440 has 1008 divisors, whose sum is σ = 56667195336960. Its totient is φ = 3380655882240.

The previous prime is 14465428885367. The next prime is 14465428885463. The reversal of 14465428885440 is 4458882456441.

14465428885440 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 5 + 4 + 2 + 8 + 88 + 544 + 0 = 666.

14465428885440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 799671916 + ... + 799690004.

Almost surely, 2^{14465428885440} is an apocalyptic number.

14465428885440 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 14465428885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28333597668480).

14465428885440 is an abundant number, since it is smaller than the sum of its proper divisors (42201766451520).

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

14465428885440 is a wasteful number, since it uses less digits than its factorization.

14465428885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18222 (or 18196 counting only the distinct ones).

The product of its (nonzero) digits is 157286400, while the sum is 63.

The spelling of 14465428885440 in words is "fourteen trillion, four hundred sixty-five billion, four hundred twenty-eight million, eight hundred eighty-five thousand, four hundred forty".