10838586742440 has 64 divisors (see below), whose sum is σ = 32516069414400. Its totient is φ = 2890262314752.

The previous prime is 10838586742421. The next prime is 10838586742531. The reversal of 10838586742440 is 4424768583801.

It is a super-2 number, since 2×10838586742440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14355081 + ... + 15091239.

It is an arithmetic number, because the mean of its divisors is an integer number (508063584600).

Almost surely, 2^{10838586742440} is an apocalyptic number.

10838586742440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10838586742440 is an abundant number, since it is smaller than the sum of its proper divisors (21677482671960).

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

10838586742440 is a wasteful number, since it uses less digits than its factorization.

10838586742440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858866 (or 858862 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 10838586742440 in words is "ten trillion, eight hundred thirty-eight billion, five hundred eighty-six million, seven hundred forty-two thousand, four hundred forty".