4454446064040 has 192 divisors, whose sum is σ = 16555396066560. Its totient is φ = 1017524597760.

The previous prime is 4454446064011. The next prime is 4454446064041. The reversal of 4454446064040 is 404606444544.

4454446064040 is a `hidden beast` number, since 4 + 4 + 544 + 4 + 6 + 0 + 64 + 0 + 40 = 666.

It is a super-2 number, since 2×4454446064040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4454446064041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499660 + ... + 4599620.

It is an arithmetic number, because the mean of its divisors is an integer number (86226021180).

Almost surely, 2^{4454446064040} is an apocalyptic number.

4454446064040 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 4454446064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277698033280).

4454446064040 is an abundant number, since it is smaller than the sum of its proper divisors (12100950002520).

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

4454446064040 is a wasteful number, since it uses less digits than its factorization.

4454446064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101592 (or 1101585 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 4454446064040 in words is "four trillion, four hundred fifty-four billion, four hundred forty-six million, sixty-four thousand, forty".