10938227040 has 1152 divisors, whose sum is σ = 47155530240. Its totient is φ = 2364899328.

The previous prime is 10938227033. The next prime is 10938227051. The reversal of 10938227040 is 4072283901.

10938227040 is a `hidden beast` number, since 1 + 0 + 9 + 382 + 270 + 4 + 0 = 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 = 10938226986 and 10938227004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163257087 + ... + 163257153.

It is an arithmetic number, because the mean of its divisors is an integer number (40933620).

Almost surely, 2^10938227040 is an apocalyptic number.

10938227040 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 10938227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577765120).

10938227040 is an abundant number, since it is smaller than the sum of its proper divisors (36217303200).

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

10938227040 is a wasteful number, since it uses less digits than its factorization.

10938227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10938227040 in words is "ten billion, nine hundred thirty-eight million, two hundred twenty-seven thousand, forty".