447982421040 has 2560 divisors, whose sum is σ = 2221572096000. Its totient is φ = 80024371200.

The previous prime is 447982421017. The next prime is 447982421147. The reversal of 447982421040 is 40124289744.

447982421040 is a `hidden beast` number, since 44 + 79 + 82 + 421 + 0 + 40 = 666.

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 511 ways as a sum of consecutive naturals, for example, 1665362026 + ... + 1665362294.

It is an arithmetic number, because the mean of its divisors is an integer number (867801600).

Almost surely, 2^447982421040 is an apocalyptic number.

447982421040 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 447982421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110786048000).

447982421040 is an abundant number, since it is smaller than the sum of its proper divisors (1773589674960).

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

447982421040 is a wasteful number, since it uses less digits than its factorization.

447982421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 447982421040 in words is "four hundred forty-seven billion, nine hundred eighty-two million, four hundred twenty-one thousand, forty".