445364453444240 has 640 divisors, whose sum is σ = 1206610393420800. Its totient is φ = 151283485900800.

The previous prime is 445364453444231. The next prime is 445364453444249. The reversal of 445364453444240 is 42444354463544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (445364453444231) and next prime (445364453444249).

It is not an unprimeable number, because it can be changed into a prime (445364453444249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146069022236 + ... + 146069025284.

It is an arithmetic number, because the mean of its divisors is an integer number (1885328739720).

Almost surely, 2^{445364453444240} is an apocalyptic number.

445364453444240 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 445364453444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603305196710400).

445364453444240 is an abundant number, since it is smaller than the sum of its proper divisors (761245939976560).

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

445364453444240 is a wasteful number, since it uses less digits than its factorization.

445364453444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 56.

The spelling of 445364453444240 in words is "four hundred forty-five trillion, three hundred sixty-four billion, four hundred fifty-three million, four hundred forty-four thousand, two hundred forty".