14034228240000 has 640 divisors, whose sum is σ = 48332528640000. Its totient is φ = 3603156480000.

The previous prime is 14034228239939. The next prime is 14034228240049. The reversal of 14034228240000 is 4282243041.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 14034228240000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1480555261 + ... + 1480564739.

It is an arithmetic number, because the mean of its divisors is an integer number (75519576000).

Almost surely, 2^{14034228240000} is an apocalyptic number.

14034228240000 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 14034228240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24166264320000).

14034228240000 is an abundant number, since it is smaller than the sum of its proper divisors (34298300400000).

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

14034228240000 is an equidigital number, since it uses as much as digits as its factorization.

14034228240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9746 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 14034228240000 in words is "fourteen trillion, thirty-four billion, two hundred twenty-eight million, two hundred forty thousand".