1145052424400 has 120 divisors (see below), whose sum is σ = 2770957971000. Its totient is φ = 454699571200.

The previous prime is 1145052424379. The next prime is 1145052424409. The reversal of 1145052424400 is 44242505411.

It can be written as a sum of positive squares in 12 ways, for example, as 1139308603456 + 5743820944 = 1067384^2 + 75788^2 .

It is a super-2 number, since 2×1145052424400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145052424409) 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 23 ways as a sum of consecutive naturals, for example, 141903566 + ... + 141911634.

It is an arithmetic number, because the mean of its divisors is an integer number (23091316425).

Almost surely, 2^{1145052424400} is an apocalyptic number.

1145052424400 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 1145052424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385478985500).

1145052424400 is an abundant number, since it is smaller than the sum of its proper divisors (1625905546600).

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

1145052424400 is a wasteful number, since it uses less digits than its factorization.

1145052424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 1145052424400 its reverse (44242505411), we get a palindrome (1189294929811).

The spelling of 1145052424400 in words is "one trillion, one hundred forty-five billion, fifty-two million, four hundred twenty-four thousand, four hundred".