445434560640 has 512 divisors, whose sum is σ = 1604810880000. Its totient is φ = 116746665984.

The previous prime is 445434560629. The next prime is 445434560647. The reversal of 445434560640 is 46065434544.

445434560640 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 34 + 5 + 606 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (445434560647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367216674 + ... + 367217886.

It is an arithmetic number, because the mean of its divisors is an integer number (3134396250).

Almost surely, 2^445434560640 is an apocalyptic number.

445434560640 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 445434560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802405440000).

445434560640 is an abundant number, since it is smaller than the sum of its proper divisors (1159376319360).

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

445434560640 is a wasteful number, since it uses less digits than its factorization.

445434560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 445434560640 in words is "four hundred forty-five billion, four hundred thirty-four million, five hundred sixty thousand, six hundred forty".