4284432667440 has 240 divisors, whose sum is σ = 14505416879616. Its totient is φ = 1133273203200.

The previous prime is 4284432667429. The next prime is 4284432667441. The reversal of 4284432667440 is 447662344824.

4284432667440 is a `hidden beast` number, since 4 + 2 + 84 + 43 + 26 + 67 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4284432667441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44243875 + ... + 44340605.

Almost surely, 2^{4284432667440} is an apocalyptic number.

4284432667440 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 4284432667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252708439808).

4284432667440 is an abundant number, since it is smaller than the sum of its proper divisors (10220984212176).

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

4284432667440 is a wasteful number, since it uses less digits than its factorization.

4284432667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97248 (or 97239 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 54.

The spelling of 4284432667440 in words is "four trillion, two hundred eighty-four billion, four hundred thirty-two million, six hundred sixty-seven thousand, four hundred forty".