10838296040 has 256 divisors, whose sum is σ = 29826558720. Its totient is φ = 3491389440.

The previous prime is 10838296039. The next prime is 10838296061. The reversal of 10838296040 is 4069283801.

It is a super-2 number, since 2×10838296040² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17565812 + ... + 17566428.

It is an arithmetic number, because the mean of its divisors is an integer number (116509995).

Almost surely, 2^10838296040 is an apocalyptic number.

10838296040 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 10838296040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913279360).

10838296040 is an abundant number, since it is smaller than the sum of its proper divisors (18988262680).

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

10838296040 is a wasteful number, since it uses less digits than its factorization.

10838296040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 10838296040 in words is "ten billion, eight hundred thirty-eight million, two hundred ninety-six thousand, forty".