445284752640 has 576 divisors, whose sum is σ = 1753513391616. Its totient is φ = 93778477056.

The previous prime is 445284752629. The next prime is 445284752659. The reversal of 445284752640 is 46257482544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306458154 + ... + 306459606.

Almost surely, 2^445284752640 is an apocalyptic number.

445284752640 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 445284752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876756695808).

445284752640 is an abundant number, since it is smaller than the sum of its proper divisors (1308228638976).

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

445284752640 is a wasteful number, since it uses less digits than its factorization.

445284752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 51.

The spelling of 445284752640 in words is "four hundred forty-five billion, two hundred eighty-four million, seven hundred fifty-two thousand, six hundred forty".