445215140640 has 576 divisors, whose sum is σ = 1657570666752. Its totient is φ = 108380160000.

The previous prime is 445215140549. The next prime is 445215140663. The reversal of 445215140640 is 46041512544.

445215140640 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 1 + 5 + 1 + 4 + 0 + 640 = 666.

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 = 445215140595 and 445215140604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158947240 + ... + 158950040.

It is an arithmetic number, because the mean of its divisors is an integer number (2877726852).

Almost surely, 2^445215140640 is an apocalyptic number.

445215140640 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 445215140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828785333376).

445215140640 is an abundant number, since it is smaller than the sum of its proper divisors (1212355526112).

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

445215140640 is a wasteful number, since it uses less digits than its factorization.

445215140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 445215140640 in words is "four hundred forty-five billion, two hundred fifteen million, one hundred forty thousand, six hundred forty".