161410645440 has 336 divisors, whose sum is σ = 606785452416. Its totient is φ = 39056947200.

The previous prime is 161410645391. The next prime is 161410645447. The reversal of 161410645440 is 44546014161.

161410645440 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 1 + 0 + 645 + 4 + 4 + 0 = 666.

161410645440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161410645440² (a number of 23 digits) contains 22 as substring.

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 = 161410645395 and 161410645404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161410645447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18084819 + ... + 18093741.

Almost surely, 2^161410645440 is an apocalyptic number.

161410645440 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 161410645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303392726208).

161410645440 is an abundant number, since it is smaller than the sum of its proper divisors (445374806976).

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

161410645440 is a wasteful number, since it uses less digits than its factorization.

161410645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 9515 counting only the distinct ones).

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

The spelling of 161410645440 in words is "one hundred sixty-one billion, four hundred ten million, six hundred forty-five thousand, four hundred forty".