445107428640 has 960 divisors, whose sum is σ = 1909966189824. Its totient is φ = 95296684032.

The previous prime is 445107428599. The next prime is 445107428683. The reversal of 445107428640 is 46824701544.

445107428640 is a `hidden beast` number, since 4 + 4 + 510 + 74 + 2 + 8 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 396355119 + ... + 396356241.

Almost surely, 2^445107428640 is an apocalyptic number.

445107428640 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 445107428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954983094912).

445107428640 is an abundant number, since it is smaller than the sum of its proper divisors (1464858761184).

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

445107428640 is a wasteful number, since it uses less digits than its factorization.

445107428640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 445107428640 in words is "four hundred forty-five billion, one hundred seven million, four hundred twenty-eight thousand, six hundred forty".