445934384640 has 320 divisors, whose sum is σ = 1585312819200. Its totient is φ = 118817021952.

The previous prime is 445934384633. The next prime is 445934384641. The reversal of 445934384640 is 46483439544.

445934384640 is a `hidden beast` number, since 4 + 4 + 593 + 4 + 3 + 8 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445934384641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126003991 + ... + 126007529.

It is an arithmetic number, because the mean of its divisors is an integer number (4954102560).

Almost surely, 2^445934384640 is an apocalyptic number.

445934384640 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 445934384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792656409600).

445934384640 is an abundant number, since it is smaller than the sum of its proper divisors (1139378434560).

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

445934384640 is a wasteful number, since it uses less digits than its factorization.

445934384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 445934384640 in words is "four hundred forty-five billion, nine hundred thirty-four million, three hundred eighty-four thousand, six hundred forty".