445780419840 has 1152 divisors, whose sum is σ = 1915303219200. Its totient is φ = 95909806080.

The previous prime is 445780419839. The next prime is 445780419841. The reversal of 445780419840 is 48914087544.

445780419840 is a `hidden beast` number, since 445 + 7 + 8 + 0 + 4 + 198 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (445780419839) and next prime (445780419841).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445780419841) 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 127 ways as a sum of consecutive naturals, for example, 1346768475 + ... + 1346768805.

It is an arithmetic number, because the mean of its divisors is an integer number (1662589600).

Almost surely, 2^445780419840 is an apocalyptic number.

445780419840 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 445780419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957651609600).

445780419840 is an abundant number, since it is smaller than the sum of its proper divisors (1469522799360).

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

445780419840 is a wasteful number, since it uses less digits than its factorization.

445780419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 445780419840 in words is "four hundred forty-five billion, seven hundred eighty million, four hundred nineteen thousand, eight hundred forty".