445432055040 has 288 divisors, whose sum is σ = 1806475426560. Its totient is φ = 101812985856.

The previous prime is 445432055017. The next prime is 445432055063. The reversal of 445432055040 is 40550234544.

445432055040 is a `hidden beast` number, since 4 + 4 + 5 + 43 + 20 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (445432055017) and next prime (445432055063).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 445432054986 and 445432055004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678699 + ... + 1162538.

It is an arithmetic number, because the mean of its divisors is an integer number (6272484120).

Almost surely, 2^445432055040 is an apocalyptic number.

445432055040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445432055040 is an abundant number, since it is smaller than the sum of its proper divisors (1361043371520).

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

445432055040 is a wasteful number, since it uses less digits than its factorization.

445432055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841274 (or 1841254 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 445432055040 its reverse (40550234544), we get a palindrome (485982289584).

The spelling of 445432055040 in words is "four hundred forty-five billion, four hundred thirty-two million, fifty-five thousand, forty".