1014451840000 has 165 divisors, whose sum is σ = 2536094461087. Its totient is φ = 405458432000.

The previous prime is 1014451839953. The next prime is 1014451840007. The reversal of 1014451840000 is 481544101.

The square root of 1014451840000 is 1007200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 79533024256 + 934918815744 = 282016^2 + 966912^2 .

It is a super-2 number, since 2×1014451840000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014451840007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 805759371 + ... + 805760629.

Almost surely, 2^{1014451840000} is an apocalyptic number.

1014451840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1014451840000 is the 1007200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014451840000

1014451840000 is an abundant number, since it is smaller than the sum of its proper divisors (1521642621087).

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

1014451840000 is an frugal number, since it uses more digits than its factorization.

1014451840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 1014451840000 in words is "one trillion, fourteen billion, four hundred fifty-one million, eight hundred forty thousand".