447675413007440 has 40 divisors (see below), whose sum is σ = 1042532280795240. Its totient is φ = 178779938011136.

The previous prime is 447675413007359. The next prime is 447675413007461. The reversal of 447675413007440 is 44700314576744.

It can be written as a sum of positive squares in 4 ways, for example, as 874404529216 + 446801008478224 = 935096^2 + 21137668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×447675413007440³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4534750205 + ... + 4534848924.

It is an arithmetic number, because the mean of its divisors is an integer number (26063307019881).

Almost surely, 2^{447675413007440} is an apocalyptic number.

447675413007440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447675413007440 is an abundant number, since it is smaller than the sum of its proper divisors (594856867787800).

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

447675413007440 is a wasteful number, since it uses less digits than its factorization.

447675413007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069599759 (or 9069599753 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 56.

The spelling of 447675413007440 in words is "four hundred forty-seven trillion, six hundred seventy-five billion, four hundred thirteen million, seven thousand, four hundred forty".