14445414544000 has 512 divisors, whose sum is σ = 42248307628800. Its totient is φ = 4854988800000.

The previous prime is 14445414543991. The next prime is 14445414544079. The reversal of 14445414544000 is 44541454441.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137051320 + ... + 137156680.

Almost surely, 2^{14445414544000} is an apocalyptic number.

14445414544000 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 14445414544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21124153814400).

14445414544000 is an abundant number, since it is smaller than the sum of its proper divisors (27802893084800).

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

14445414544000 is a wasteful number, since it uses less digits than its factorization.

14445414544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105461 (or 105439 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 14445414544000 its reverse (44541454441), we get a palindrome (14489955998441).

The spelling of 14445414544000 in words is "fourteen trillion, four hundred forty-five billion, four hundred fourteen million, five hundred forty-four thousand".