447433367040 has 480 divisors, whose sum is σ = 1697938441056. Its totient is φ = 107988910080.

The previous prime is 447433367027. The next prime is 447433367081. The reversal of 447433367040 is 40763334744.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59047732 + ... + 59055308.

Almost surely, 2^447433367040 is an apocalyptic number.

447433367040 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 447433367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848969220528).

447433367040 is an abundant number, since it is smaller than the sum of its proper divisors (1250505074016).

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

447433367040 is a wasteful number, since it uses less digits than its factorization.

447433367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 45.

The spelling of 447433367040 in words is "four hundred forty-seven billion, four hundred thirty-three million, three hundred sixty-seven thousand, forty".