445534007040 has 504 divisors, whose sum is σ = 1605650856768. Its totient is φ = 118394265600.

The previous prime is 445534007027. The next prime is 445534007047. The reversal of 445534007040 is 40700435544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 445534006986 and 445534007004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445534007047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 342454390 + ... + 342455690.

It is an arithmetic number, because the mean of its divisors is an integer number (3185815192).

Almost surely, 2^445534007040 is an apocalyptic number.

445534007040 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 445534007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802825428384).

445534007040 is an abundant number, since it is smaller than the sum of its proper divisors (1160116849728).

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

445534007040 is an equidigital number, since it uses as much as digits as its factorization.

445534007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 445534007040 in words is "four hundred forty-five billion, five hundred thirty-four million, seven thousand, forty".