1045808824320 has 960 divisors, whose sum is σ = 4116751511040. Its totient is φ = 250217496576.

The previous prime is 1045808824303. The next prime is 1045808824343. The reversal of 1045808824320 is 234288085401.

1045808824320 is a `hidden beast` number, since 1 + 0 + 4 + 580 + 8 + 8 + 2 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063894549 + ... + 1063895531.

It is an arithmetic number, because the mean of its divisors is an integer number (4288282824).

Almost surely, 2^{1045808824320} is an apocalyptic number.

1045808824320 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 1045808824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058375755520).

1045808824320 is an abundant number, since it is smaller than the sum of its proper divisors (3070942686720).

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

1045808824320 is an equidigital number, since it uses as much as digits as its factorization.

1045808824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1045808824320 in words is "one trillion, forty-five billion, eight hundred eight million, eight hundred twenty-four thousand, three hundred twenty".