7161040224144 has 135 divisors (see below), whose sum is σ = 20140039774803. Its totient is φ = 2375271067392.

The previous prime is 7161040224127. The next prime is 7161040224187. The reversal of 7161040224144 is 4414220401617.

The square root of 7161040224144 is 2676012.

It is a perfect power (a square), and thus also a powerful number.

7161040224144 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 0 + 402 + 241 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1354868064144 + 5806172160000 = 1163988^2 + 2409600^2 .

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 = 7161040224099 and 7161040224108.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8638166322 + ... + 8638167150.

Almost surely, 2^{7161040224144} is an apocalyptic number.

7161040224144 is the 2676012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7161040224144

7161040224144 is an abundant number, since it is smaller than the sum of its proper divisors (12978999550659).

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

7161040224144 is an frugal number, since it uses more digits than its factorization.

7161040224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 7161040224144 by its sum of digits (36), we get a square (257797448069184 = 16056072²).

7161040224144 divided by its sum of digits (36) gives a square (198917784004 = 446002²).

The spelling of 7161040224144 in words is "seven trillion, one hundred sixty-one billion, forty million, two hundred twenty-four thousand, one hundred forty-four".