1630203144960 has 288 divisors, whose sum is σ = 5627694901248. Its totient is φ = 399796715520.

The previous prime is 1630203144917. The next prime is 1630203144967. The reversal of 1630203144960 is 694413020361.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1630203144967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13468069 + ... + 13588571.

It is an arithmetic number, because the mean of its divisors is an integer number (19540607296).

Almost surely, 2^{1630203144960} is an apocalyptic number.

1630203144960 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 1630203144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813847450624).

1630203144960 is an abundant number, since it is smaller than the sum of its proper divisors (3997491756288).

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

1630203144960 is a wasteful number, since it uses less digits than its factorization.

1630203144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120811 (or 120797 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 1630203144960 in words is "one trillion, six hundred thirty billion, two hundred three million, one hundred forty-four thousand, nine hundred sixty".