448934180271720 has 1536 divisors, whose sum is σ = 1752007449600000. Its totient is φ = 90829147668480.

The previous prime is 448934180271671. The next prime is 448934180271791. The reversal of 448934180271720 is 27172081439844.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11085048031 + ... + 11085088529.

It is an arithmetic number, because the mean of its divisors is an integer number (1140629850000).

Almost surely, 2^{448934180271720} is an apocalyptic number.

448934180271720 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 448934180271720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876003724800000).

448934180271720 is an abundant number, since it is smaller than the sum of its proper divisors (1303073269328280).

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

448934180271720 is a wasteful number, since it uses less digits than its factorization.

448934180271720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40683 (or 40666 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 448934180271720 in words is "four hundred forty-eight trillion, nine hundred thirty-four billion, one hundred eighty million, two hundred seventy-one thousand, seven hundred twenty".