11038940640 has 576 divisors, whose sum is σ = 47157731712. Its totient is φ = 2289254400.

The previous prime is 11038940611. The next prime is 11038940681. The reversal of 11038940640 is 4604983011.

11038940640 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 8 + 9 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11038940595 and 11038940604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7992750 + ... + 7994130.

It is an arithmetic number, because the mean of its divisors is an integer number (81871062).

Almost surely, 2^11038940640 is an apocalyptic number.

11038940640 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 11038940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23578865856).

11038940640 is an abundant number, since it is smaller than the sum of its proper divisors (36118791072).

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

11038940640 is a wasteful number, since it uses less digits than its factorization.

11038940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11038940640 in words is "eleven billion, thirty-eight million, nine hundred forty thousand, six hundred forty".