4172617040 has 60 divisors (see below), whose sum is σ = 9800254812. Its totient is φ = 1652198400.

The previous prime is 4172617039. The next prime is 4172617049. The reversal of 4172617040 is 407162714.

It can be written as a sum of positive squares in 6 ways, for example, as 122058304 + 4050558736 = 11048^2 + 63644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4172616988 and 4172617006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172617049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813524 + ... + 818636.

Almost surely, 2^4172617040 is an apocalyptic number.

4172617040 is a gapful number since it is divisible by the number (40) 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 4172617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900127406).

4172617040 is an abundant number, since it is smaller than the sum of its proper divisors (5627637772).

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

4172617040 is a wasteful number, since it uses less digits than its factorization.

4172617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 4172617040 is about 64595.7973865173. The cubic root of 4172617040 is about 1609.9146129632.

Adding to 4172617040 its reverse (407162714), we get a palindrome (4579779754).

The spelling of 4172617040 in words is "four billion, one hundred seventy-two million, six hundred seventeen thousand, forty".