448966153440 has 864 divisors, whose sum is σ = 1826651264256. Its totient is φ = 100096819200.

The previous prime is 448966153429. The next prime is 448966153477. The reversal of 448966153440 is 44351669844.

448966153440 is a `hidden beast` number, since 4 + 4 + 8 + 9 + 6 + 61 + 534 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 520238449 + ... + 520239311.

It is an arithmetic number, because the mean of its divisors is an integer number (2114179704).

Almost surely, 2^448966153440 is an apocalyptic number.

448966153440 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 448966153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913325632128).

448966153440 is an abundant number, since it is smaller than the sum of its proper divisors (1377685110816).

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

448966153440 is a wasteful number, since it uses less digits than its factorization.

448966153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 448966153440 in words is "four hundred forty-eight billion, nine hundred sixty-six million, one hundred fifty-three thousand, four hundred forty".