448962845040 has 320 divisors, whose sum is σ = 1664244731520. Its totient is φ = 110833090560.

The previous prime is 448962845029. The next prime is 448962845041. The reversal of 448962845040 is 40548269844.

It is a happy number.

448962845040 is a `hidden beast` number, since 4 + 4 + 8 + 9 + 628 + 4 + 5 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×448962845040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448962845041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2139702 + ... + 2340138.

It is an arithmetic number, because the mean of its divisors is an integer number (5200764786).

Almost surely, 2^448962845040 is an apocalyptic number.

448962845040 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 448962845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832122365760).

448962845040 is an abundant number, since it is smaller than the sum of its proper divisors (1215281886480).

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

448962845040 is a wasteful number, since it uses less digits than its factorization.

448962845040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200537 (or 200525 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 448962845040 in words is "four hundred forty-eight billion, nine hundred sixty-two million, eight hundred forty-five thousand, forty".