40117018240 has 128 divisors (see below), whose sum is σ = 103495870800. Its totient is φ = 14781775872.

The previous prime is 40117018237. The next prime is 40117018273. The reversal of 40117018240 is 4281071104.

It can be written as a sum of positive squares in 8 ways, for example, as 28361254464 + 11755763776 = 168408^2 + 108424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40117018199 and 40117018208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4230144 + ... + 4239616.

Almost surely, 2^40117018240 is an apocalyptic number.

40117018240 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 40117018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51747935400).

40117018240 is an abundant number, since it is smaller than the sum of its proper divisors (63378852560).

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

40117018240 is a wasteful number, since it uses less digits than its factorization.

40117018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 40117018240 its reverse (4281071104), we get a palindrome (44398089344).

The spelling of 40117018240 in words is "forty billion, one hundred seventeen million, eighteen thousand, two hundred forty".