180440261629056 has 896 divisors, whose sum is σ = 635233992382080. Its totient is φ = 50309351424000.

The previous prime is 180440261628997. The next prime is 180440261629129. The reversal of 180440261629056 is 650926162044081.

It is a happy number.

180440261629056 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 4 + 0 + 2 + 6 + 1 + 629 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×180440261629056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 180440261628993 and 180440261629011.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4149842836 + ... + 4149886316.

It is an arithmetic number, because the mean of its divisors is an integer number (708966509355).

Almost surely, 2^{180440261629056} is an apocalyptic number.

180440261629056 is a gapful number since it is divisible by the number (16) 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 180440261629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317616996191040).

180440261629056 is an abundant number, since it is smaller than the sum of its proper divisors (454793730753024).

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

180440261629056 is a wasteful number, since it uses less digits than its factorization.

180440261629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43848 (or 43821 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 180440261629056 in words is "one hundred eighty trillion, four hundred forty billion, two hundred sixty-one million, six hundred twenty-nine thousand, fifty-six".