447938242240 has 112 divisors (see below), whose sum is σ = 1123231586400. Its totient is φ = 169678651392.

The previous prime is 447938242163. The next prime is 447938242277. The reversal of 447938242240 is 42242839744.

It is a super-2 number, since 2×447938242240² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17235976 + ... + 17261944.

It is an arithmetic number, because the mean of its divisors is an integer number (10028853450).

Almost surely, 2^447938242240 is an apocalyptic number.

447938242240 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 447938242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561615793200).

447938242240 is an abundant number, since it is smaller than the sum of its proper divisors (675293344160).

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

447938242240 is a wasteful number, since it uses less digits than its factorization.

447938242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28842 (or 28832 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 447938242240 in words is "four hundred forty-seven billion, nine hundred thirty-eight million, two hundred forty-two thousand, two hundred forty".