4452871127040 has 1620 divisors, whose sum is σ = 18851552774964. Its totient is φ = 969368666112.

The previous prime is 4452871126933. The next prime is 4452871127051. The reversal of 4452871127040 is 407211782544.

4452871127040 is a `hidden beast` number, since 4 + 4 + 528 + 7 + 1 + 12 + 70 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1238395060224 + 3214476066816 = 1112832^2 + 1792896^2 .

It is a super-2 number, since 2×4452871127040² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19111034764 + ... + 19111034996.

Almost surely, 2^{4452871127040} is an apocalyptic number.

4452871127040 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 4452871127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425776387482).

4452871127040 is an abundant number, since it is smaller than the sum of its proper divisors (14398681647924).

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

4452871127040 is a wasteful number, since it uses less digits than its factorization.

4452871127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 4452871127040 in words is "four trillion, four hundred fifty-two billion, eight hundred seventy-one million, one hundred twenty-seven thousand, forty".