4454315543340 has 288 divisors, whose sum is σ = 14670288360000. Its totient is φ = 1087472977920.

The previous prime is 4454315543261. The next prime is 4454315543351. The reversal of 4454315543340 is 433455134544.

4454315543340 is a `hidden beast` number, since 4 + 4 + 54 + 3 + 1 + 554 + 3 + 3 + 40 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 160507786 + ... + 160535534.

It is an arithmetic number, because the mean of its divisors is an integer number (50938501250).

Almost surely, 2^{4454315543340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454315543340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335144180000).

4454315543340 is an abundant number, since it is smaller than the sum of its proper divisors (10215972816660).

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

4454315543340 is a wasteful number, since it uses less digits than its factorization.

4454315543340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28337 (or 28332 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 4454315543340 in words is "four trillion, four hundred fifty-four billion, three hundred fifteen million, five hundred forty-three thousand, three hundred forty".