2128327799040 has 360 divisors, whose sum is σ = 7878162239640. Its totient is φ = 547982475264.

The previous prime is 2128327798973. The next prime is 2128327799041. The reversal of 2128327799040 is 409977238212.

It is a happy number.

2128327799040 is a `hidden beast` number, since 2 + 1 + 283 + 277 + 9 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 879333801984 + 1248993997056 = 937728^2 + 1117584^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2128327799041) 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 39 ways as a sum of consecutive naturals, for example, 2652792 + ... + 3360648.

It is an arithmetic number, because the mean of its divisors is an integer number (21883783999).

Almost surely, 2^{2128327799040} is an apocalyptic number.

2128327799040 is a gapful number since it is divisible by the number (20) 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 2128327799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939081119820).

2128327799040 is an abundant number, since it is smaller than the sum of its proper divisors (5749834440600).

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

2128327799040 is an equidigital number, since it uses as much as digits as its factorization.

2128327799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707919 (or 707896 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2128327799040 in words is "two trillion, one hundred twenty-eight billion, three hundred twenty-seven million, seven hundred ninety-nine thousand, forty".