448393153178880 has 3600 divisors, whose sum is σ = 2033439583279104. Its totient is φ = 93775066398720.

The previous prime is 448393153178827. The next prime is 448393153178917. The reversal of 448393153178880 is 88871351393844.

448393153178880 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 9 + 3 + 1 + 531 + 7 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 448393153178799 and 448393153178808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 410992807135 + ... + 410992808225.

Almost surely, 2^{448393153178880} is an apocalyptic number.

448393153178880 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 448393153178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016719791639552).

448393153178880 is an abundant number, since it is smaller than the sum of its proper divisors (1585046430100224).

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

448393153178880 is a wasteful number, since it uses less digits than its factorization.

448393153178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 448393153178880 in words is "four hundred forty-eight trillion, three hundred ninety-three billion, one hundred fifty-three million, one hundred seventy-eight thousand, eight hundred eighty".