445202465040 has 120 divisors (see below), whose sum is σ = 1543368622848. Its totient is φ = 114890952960.

The previous prime is 445202465027. The next prime is 445202465041. The reversal of 445202465040 is 40564202544.

445202465040 is a `hidden beast` number, since 4 + 4 + 520 + 2 + 46 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 445202464986 and 445202465004.

It is not an unprimeable number, because it can be changed into a prime (445202465041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9950854 + ... + 9995493.

Almost surely, 2^445202465040 is an apocalyptic number.

445202465040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445202465040 is an abundant number, since it is smaller than the sum of its proper divisors (1098166157808).

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

445202465040 is a wasteful number, since it uses less digits than its factorization.

445202465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19946397 (or 19946388 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 445202465040 its reverse (40564202544), we get a palindrome (485766667584).

The spelling of 445202465040 in words is "four hundred forty-five billion, two hundred two million, four hundred sixty-five thousand, forty".