445195491840 has 800 divisors, whose sum is σ = 1764650448000. Its totient is φ = 106367385600.

The previous prime is 445195491823. The next prime is 445195491841. The reversal of 445195491840 is 48194591544.

445195491840 is a `hidden beast` number, since 4 + 4 + 5 + 19 + 549 + 1 + 84 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (445195491841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161946786 + ... + 161949534.

It is an arithmetic number, because the mean of its divisors is an integer number (2205813060).

Almost surely, 2^445195491840 is an apocalyptic number.

445195491840 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 445195491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882325224000).

445195491840 is an abundant number, since it is smaller than the sum of its proper divisors (1319454956160).

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

445195491840 is a wasteful number, since it uses less digits than its factorization.

445195491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 445195491840 in words is "four hundred forty-five billion, one hundred ninety-five million, four hundred ninety-one thousand, eight hundred forty".