449378764128 has 288 divisors, whose sum is σ = 1545455987712. Its totient is φ = 121080960000.

The previous prime is 449378764127. The next prime is 449378764139. The reversal of 449378764128 is 821467873944.

449378764128 is a `hidden beast` number, since 4 + 493 + 7 + 87 + 6 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449378764127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3223878 + ... + 3360378.

It is an arithmetic number, because the mean of its divisors is an integer number (5366166624).

Almost surely, 2^449378764128 is an apocalyptic number.

449378764128 is a gapful number since it is divisible by the number (48) 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 449378764128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772727993856).

449378764128 is an abundant number, since it is smaller than the sum of its proper divisors (1096077223584).

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

449378764128 is a wasteful number, since it uses less digits than its factorization.

449378764128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136618 (or 136607 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 449378764128 in words is "four hundred forty-nine billion, three hundred seventy-eight million, seven hundred sixty-four thousand, one hundred twenty-eight".