1141127561610 has 48 divisors (see below), whose sum is σ = 3035930081184. Its totient is φ = 297223922016.

The previous prime is 1141127561597. The next prime is 1141127561659. The reversal of 1141127561610 is 161657211411.

1141127561610 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 27 + 5 + 616 + 10 = 666.

It is a super-2 number, since 2×1141127561610² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147428632 + ... + 147436371.

It is an arithmetic number, because the mean of its divisors is an integer number (63248543358).

Almost surely, 2^{1141127561610} is an apocalyptic number.

1141127561610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1141127561610 is an abundant number, since it is smaller than the sum of its proper divisors (1894802519574).

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

1141127561610 is a wasteful number, since it uses less digits than its factorization.

1141127561610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294865059 (or 294865056 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 1141127561610 in words is "one trillion, one hundred forty-one billion, one hundred twenty-seven million, five hundred sixty-one thousand, six hundred ten".