445670440000 has 140 divisors (see below), whose sum is σ = 1105887836988. Its totient is φ = 178144000000.

The previous prime is 445670439983. The next prime is 445670440027. The reversal of 445670440000 is 44076544.

It can be written as a sum of positive squares in 10 ways, for example, as 422271230976 + 23399209024 = 649824^2 + 152968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76037070 + ... + 76042930.

Almost surely, 2^445670440000 is an apocalyptic number.

445670440000 is a gapful number since it is divisible by the number (40) 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 445670440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552943918494).

445670440000 is an abundant number, since it is smaller than the sum of its proper divisors (660217396988).

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

445670440000 is an equidigital number, since it uses as much as digits as its factorization.

445670440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 445670440000 in words is "four hundred forty-five billion, six hundred seventy million, four hundred forty thousand".