448309877124240 has 960 divisors, whose sum is σ = 1649622731387904. Its totient is φ = 113011241140224.

The previous prime is 448309877124209. The next prime is 448309877124293. The reversal of 448309877124240 is 42421778903844.

448309877124240 is a `hidden beast` number, since 4 + 4 + 8 + 309 + 8 + 77 + 12 + 4 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4631395522 + ... + 4631492318.

Almost surely, 2^{448309877124240} is an apocalyptic number.

448309877124240 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 448309877124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824811365693952).

448309877124240 is an abundant number, since it is smaller than the sum of its proper divisors (1201312854263664).

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

448309877124240 is a wasteful number, since it uses less digits than its factorization.

448309877124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97046 (or 97028 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 448309877124240 in words is "four hundred forty-eight trillion, three hundred nine billion, eight hundred seventy-seven million, one hundred twenty-four thousand, two hundred forty".