14434164541440 has 1008 divisors, whose sum is σ = 60405887063340. Its totient is φ = 3299154001920.

The previous prime is 14434164541439. The next prime is 14434164541469. The reversal of 14434164541440 is 4414546143441.

14434164541440 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 1 + 64 + 541 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14015379538944 + 418785002496 = 3743712^2 + 647136^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365763310 + ... + 365802770.

Almost surely, 2^{14434164541440} is an apocalyptic number.

14434164541440 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 14434164541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30202943531670).

14434164541440 is an abundant number, since it is smaller than the sum of its proper divisors (45971722521900).

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

14434164541440 is an frugal number, since it uses more digits than its factorization.

14434164541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39520 (or 39478 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 14434164541440 in words is "fourteen trillion, four hundred thirty-four billion, one hundred sixty-four million, five hundred forty-one thousand, four hundred forty".