1611411171120 has 240 divisors, whose sum is σ = 5618529176832. Its totient is φ = 413443307520.

The previous prime is 1611411171113. The next prime is 1611411171193. The reversal of 1611411171120 is 211711141161.

1611411171120 is a `hidden beast` number, since 1 + 61 + 1 + 411 + 1 + 71 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3652702 + ... + 4070018.

Almost surely, 2^{1611411171120} is an apocalyptic number.

1611411171120 is a gapful number since it is divisible by the number (10) 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 1611411171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809264588416).

1611411171120 is an abundant number, since it is smaller than the sum of its proper divisors (4007118005712).

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

1611411171120 is a wasteful number, since it uses less digits than its factorization.

1611411171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417540 (or 417531 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 27.

The spelling of 1611411171120 in words is "one trillion, six hundred eleven billion, four hundred eleven million, one hundred seventy-one thousand, one hundred twenty".