1450788003000 has 1152 divisors, whose sum is σ = 6013055692800. Its totient is φ = 320596704000.

The previous prime is 1450788002977. The next prime is 1450788003001. The reversal of 1450788003000 is 3008870541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450788003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1423736491 + ... + 1423737509.

It is an arithmetic number, because the mean of its divisors is an integer number (5219666400).

Almost surely, 2^{1450788003000} is an apocalyptic number.

1450788003000 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 1450788003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006527846400).

1450788003000 is an abundant number, since it is smaller than the sum of its proper divisors (4562267689800).

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

1450788003000 is an equidigital number, since it uses as much as digits as its factorization.

1450788003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1450788003000 in words is "one trillion, four hundred fifty billion, seven hundred eighty-eight million, three thousand".