1445948822400 has 1152 divisors, whose sum is σ = 5326220528640. Its totient is φ = 344184422400.

The previous prime is 1445948822363. The next prime is 1445948822401. The reversal of 1445948822400 is 42288495441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445948822401) 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 143 ways as a sum of consecutive naturals, for example, 4619644644 + ... + 4619644956.

It is an arithmetic number, because the mean of its divisors is an integer number (4623455320).

Almost surely, 2^{1445948822400} is an apocalyptic number.

1445948822400 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 1445948822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663110264320).

1445948822400 is an abundant number, since it is smaller than the sum of its proper divisors (3880271706240).

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

1445948822400 is a wasteful number, since it uses less digits than its factorization.

1445948822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 1445948822400 in words is "one trillion, four hundred forty-five billion, nine hundred forty-eight million, eight hundred twenty-two thousand, four hundred".