445473907907040 has 288 divisors, whose sum is σ = 1551488399959680. Its totient is φ = 116366264036352.

The previous prime is 445473907906957. The next prime is 445473907907051. The reversal of 445473907907040 is 40709709374544.

445473907907040 is a `hidden beast` number, since 4 + 4 + 5 + 473 + 9 + 0 + 7 + 90 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4372527 + ... + 30167313.

It is an arithmetic number, because the mean of its divisors is an integer number (5387112499860).

Almost surely, 2^{445473907907040} is an apocalyptic number.

445473907907040 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 445473907907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775744199979840).

445473907907040 is an abundant number, since it is smaller than the sum of its proper divisors (1106014492052640).

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

445473907907040 is a wasteful number, since it uses less digits than its factorization.

445473907907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25795054 (or 25795043 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 445473907907040 in words is "four hundred forty-five trillion, four hundred seventy-three billion, nine hundred seven million, nine hundred seven thousand, forty".