1014505344000 has 704 divisors, whose sum is σ = 3912915502080. Its totient is φ = 258752102400.

The previous prime is 1014505343927. The next prime is 1014505344001. The reversal of 1014505344000 is 4435054101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1014505344001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79481619 + ... + 79494381.

Almost surely, 2^{1014505344000} is an apocalyptic number.

1014505344000 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 1014505344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956457751040).

1014505344000 is an abundant number, since it is smaller than the sum of its proper divisors (2898410158080).

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

1014505344000 is a wasteful number, since it uses less digits than its factorization.

1014505344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1014505344000 in words is "one trillion, fourteen billion, five hundred five million, three hundred forty-four thousand".