2161414160640 has 1296 divisors, whose sum is σ = 9167128274304. Its totient is φ = 477638000640.

The previous prime is 2161414160617. The next prime is 2161414160677. The reversal of 2161414160640 is 460614141612.

2161414160640 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 4 + 1 + 4 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×2161414160640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2161414160595 and 2161414160604.

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 143 ways as a sum of consecutive naturals, for example, 2092365564 + ... + 2092366596.

Almost surely, 2^{2161414160640} is an apocalyptic number.

2161414160640 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 2161414160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583564137152).

2161414160640 is an abundant number, since it is smaller than the sum of its proper divisors (7005714113664).

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

2161414160640 is an equidigital number, since it uses as much as digits as its factorization.

2161414160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2161414160640 in words is "two trillion, one hundred sixty-one billion, four hundred fourteen million, one hundred sixty thousand, six hundred forty".