447437000842440 has 256 divisors, whose sum is σ = 1546046369280000. Its totient is φ = 101474365178880.

The previous prime is 447437000842411. The next prime is 447437000842453. The reversal of 447437000842440 is 44248000734744.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113077035 + ... + 116967045.

It is an arithmetic number, because the mean of its divisors is an integer number (6039243630000).

Almost surely, 2^{447437000842440} is an apocalyptic number.

447437000842440 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 447437000842440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773023184640000).

447437000842440 is an abundant number, since it is smaller than the sum of its proper divisors (1098609368437560).

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

447437000842440 is a wasteful number, since it uses less digits than its factorization.

447437000842440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891100 (or 3891096 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 51.

The spelling of 447437000842440 in words is "four hundred forty-seven trillion, four hundred thirty-seven billion, eight hundred forty-two thousand, four hundred forty".