161264143040 has 1344 divisors, whose sum is σ = 567407877120. Its totient is φ = 42805002240.

The previous prime is 161264143009. The next prime is 161264143043. The reversal of 161264143040 is 40341462161.

It is a super-2 number, since 2×161264143040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 161264142988 and 161264143006.

It is not an unprimeable number, because it can be changed into a prime (161264143043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2733290531 + ... + 2733290589.

It is an arithmetic number, because the mean of its divisors is an integer number (422178480).

Almost surely, 2^161264143040 is an apocalyptic number.

161264143040 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 161264143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283703938560).

161264143040 is an abundant number, since it is smaller than the sum of its proper divisors (406143734080).

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

161264143040 is a wasteful number, since it uses less digits than its factorization.

161264143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 161264143040 in words is "one hundred sixty-one billion, two hundred sixty-four million, one hundred forty-three thousand, forty".