61205411622042 has 24 divisors (see below), whose sum is σ = 132613040282580. Its totient is φ = 20401601550720.

The previous prime is 61205411622031. The next prime is 61205411622169. The reversal of 61205411622042 is 24022611450216.

61205411622042 is a `hidden beast` number, since 6 + 1 + 20 + 5 + 4 + 1 + 1 + 622 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59155649595441 + 2049762026601 = 7691271^2 + 1431699^2 .

It is a super-2 number, since 2×61205411622042² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61205411621988 and 61205411622006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14989167 + ... + 18630242.

Almost surely, 2^{61205411622042} is an apocalyptic number.

61205411622042 is an abundant number, since it is smaller than the sum of its proper divisors (71407628660538).

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

61205411622042 is a wasteful number, since it uses less digits than its factorization.

61205411622042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33720558 (or 33720555 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 61205411622042 in words is "sixty-one trillion, two hundred five billion, four hundred eleven million, six hundred twenty-two thousand, forty-two".