1454243046400 has 99 divisors (see below), whose sum is σ = 3605240096499. Its totient is φ = 581620039680.

The previous prime is 1454243046379. The next prime is 1454243046407. The reversal of 1454243046400 is 46403424541.

The square root of 1454243046400 is 1205920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64183182336 + 1390059864064 = 253344^2 + 1179008^2 .

It is a super-2 number, since 2×1454243046400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1454243046400.

It is not an unprimeable number, because it can be changed into a prime (1454243046407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 192943432 + ... + 192950968.

Almost surely, 2^{1454243046400} is an apocalyptic number.

1454243046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1454243046400 is the 1205920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454243046400

1454243046400 is an abundant number, since it is smaller than the sum of its proper divisors (2150997050099).

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

1454243046400 is an frugal number, since it uses more digits than its factorization.

1454243046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 1454243046400 in words is "one trillion, four hundred fifty-four billion, two hundred forty-three million, forty-six thousand, four hundred".