11038314240 has 432 divisors, whose sum is σ = 39516815520. Its totient is φ = 2843443200.

The previous prime is 11038314239. The next prime is 11038314281. The reversal of 11038314240 is 4241383011.

11038314240 is a `hidden beast` number, since 1 + 103 + 8 + 314 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61666471 + ... + 61666649.

It is an arithmetic number, because the mean of its divisors is an integer number (91474110).

Almost surely, 2^11038314240 is an apocalyptic number.

11038314240 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 11038314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758407760).

11038314240 is an abundant number, since it is smaller than the sum of its proper divisors (28478501280).

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

11038314240 is a wasteful number, since it uses less digits than its factorization.

11038314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11038314240 its reverse (4241383011), we get a palindrome (15279697251).

The spelling of 11038314240 in words is "eleven billion, thirty-eight million, three hundred fourteen thousand, two hundred forty".