1045321453200 has 240 divisors, whose sum is σ = 3455244225216. Its totient is φ = 269966745600.

The previous prime is 1045321453193. The next prime is 1045321453207. The reversal of 1045321453200 is 23541235401.

It is an interprime number because it is at equal distance from previous prime (1045321453193) and next prime (1045321453207).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1045321453207) 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 47 ways as a sum of consecutive naturals, for example, 6662859 + ... + 6817941.

Almost surely, 2^{1045321453200} is an apocalyptic number.

1045321453200 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 1045321453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727622112608).

1045321453200 is an abundant number, since it is smaller than the sum of its proper divisors (2409922772016).

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

1045321453200 is a wasteful number, since it uses less digits than its factorization.

1045321453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155282 (or 155271 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1045321453200 its reverse (23541235401), we get a palindrome (1068862688601).

The spelling of 1045321453200 in words is "one trillion, forty-five billion, three hundred twenty-one million, four hundred fifty-three thousand, two hundred".