172641600040 has 320 divisors, whose sum is σ = 497413904400. Its totient is φ = 53586763776.

The previous prime is 172641600037. The next prime is 172641600091. The reversal of 172641600040 is 40006146271.

It can be written as a sum of positive squares in 8 ways, for example, as 58925620516 + 113715979524 = 242746^2 + 337218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 172641599975 and 172641600011.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66170256 + ... + 66172864.

Almost surely, 2^172641600040 is an apocalyptic number.

172641600040 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 172641600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248706952200).

172641600040 is an abundant number, since it is smaller than the sum of its proper divisors (324772304360).

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

172641600040 is a wasteful number, since it uses less digits than its factorization.

172641600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 172641600040 in words is "one hundred seventy-two billion, six hundred forty-one million, six hundred thousand, forty".