445464271319040 has 1664 divisors, whose sum is σ = 1795654243123200. Its totient is φ = 104171187732480.

The previous prime is 445464271319027. The next prime is 445464271319141. The reversal of 445464271319040 is 40913172464544.

445464271319040 is a `hidden beast` number, since 4 + 4 + 5 + 46 + 427 + 131 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7490919387 + ... + 7490978853.

Almost surely, 2^{445464271319040} is an apocalyptic number.

445464271319040 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 445464271319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897827121561600).

445464271319040 is an abundant number, since it is smaller than the sum of its proper divisors (1350189971804160).

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

445464271319040 is a wasteful number, since it uses less digits than its factorization.

445464271319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59578 (or 59550 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 445464271319040 in words is "four hundred forty-five trillion, four hundred sixty-four billion, two hundred seventy-one million, three hundred nineteen thousand, forty".