447011389440 has 1536 divisors, whose sum is σ = 2010014023680. Its totient is φ = 89181388800.

The previous prime is 447011389403. The next prime is 447011389457. The reversal of 447011389440 is 44983110744.

447011389440 is a `hidden beast` number, since 4 + 4 + 70 + 1 + 138 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3519774657 + ... + 3519774783.

It is an arithmetic number, because the mean of its divisors is an integer number (1308602880).

Almost surely, 2^447011389440 is an apocalyptic number.

447011389440 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 447011389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005007011840).

447011389440 is an abundant number, since it is smaller than the sum of its proper divisors (1563002634240).

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

447011389440 is a wasteful number, since it uses less digits than its factorization.

447011389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 447011389440 in words is "four hundred forty-seven billion, eleven million, three hundred eighty-nine thousand, four hundred forty".