161010995040 has 576 divisors, whose sum is σ = 645812818560. Its totient is φ = 35762503680.

The previous prime is 161010995021. The next prime is 161010995053. The reversal of 161010995040 is 40599010161.

161010995040 is a `hidden beast` number, since 1 + 61 + 0 + 1 + 0 + 99 + 504 + 0 = 666.

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 = 161010994986 and 161010995004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131009146 + ... + 131010374.

It is an arithmetic number, because the mean of its divisors is an integer number (1121202810).

Almost surely, 2^161010995040 is an apocalyptic number.

161010995040 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 161010995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322906409280).

161010995040 is an abundant number, since it is smaller than the sum of its proper divisors (484801823520).

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

161010995040 is a wasteful number, since it uses less digits than its factorization.

161010995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 161010995040 in words is "one hundred sixty-one billion, ten million, nine hundred ninety-five thousand, forty".