27038431240 has 128 divisors (see below), whose sum is σ = 63013943520. Its totient is φ = 10436608000.

The previous prime is 27038431219. The next prime is 27038431243. The reversal of 27038431240 is 4213483072.

It can be written as a sum of positive squares in 16 ways, for example, as 24883800516 + 2154630724 = 157746^2 + 46418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27038431196 and 27038431205.

It is not an unprimeable number, because it can be changed into a prime (27038431243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42181320 + ... + 42181960.

Almost surely, 2^27038431240 is an apocalyptic number.

27038431240 is a gapful number since it is divisible by the number (20) 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 27038431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31506971760).

27038431240 is an abundant number, since it is smaller than the sum of its proper divisors (35975512280).

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

27038431240 is a wasteful number, since it uses less digits than its factorization.

27038431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 27038431240 in words is "twenty-seven billion, thirty-eight million, four hundred thirty-one thousand, two hundred forty".