2127116354440 has 256 divisors, whose sum is σ = 6004694384640. Its totient is φ = 658814208000.

The previous prime is 2127116354359. The next prime is 2127116354477. The reversal of 2127116354440 is 444536117212.

It is a super-2 number, since 2×2127116354440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2127116354393 and 2127116354402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888889884 + ... + 888892276.

It is an arithmetic number, because the mean of its divisors is an integer number (23455837440).

Almost surely, 2^{2127116354440} is an apocalyptic number.

2127116354440 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 2127116354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002347192320).

2127116354440 is an abundant number, since it is smaller than the sum of its proper divisors (3877578030200).

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

2127116354440 is a wasteful number, since it uses less digits than its factorization.

2127116354440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2127116354440 in words is "two trillion, one hundred twenty-seven billion, one hundred sixteen million, three hundred fifty-four thousand, four hundred forty".