445152422313040 has 80 divisors (see below), whose sum is σ = 1138307929129728. Its totient is φ = 160866865525248.

The previous prime is 445152422313023. The next prime is 445152422313041. The reversal of 445152422313040 is 40313224251544.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×445152422313040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 445152422312984 and 445152422313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445152422313041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4553474262 + ... + 4553572021.

Almost surely, 2^{445152422313040} is an apocalyptic number.

445152422313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445152422313040 is an abundant number, since it is smaller than the sum of its proper divisors (693155506816688).

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

445152422313040 is a wasteful number, since it uses less digits than its factorization.

445152422313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107046356 (or 9107046350 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 445152422313040 its reverse (40313224251544), we get a palindrome (485465646564584).

The spelling of 445152422313040 in words is "four hundred forty-five trillion, one hundred fifty-two billion, four hundred twenty-two million, three hundred thirteen thousand, forty".