10440777440 has 48 divisors (see below), whose sum is σ = 24675023520. Its totient is φ = 4174840320.

The previous prime is 10440777439. The next prime is 10440777449. The reversal of 10440777440 is 4477704401.

10440777440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10440777440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10440777394 and 10440777403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440777449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521210 + ... + 540870.

It is an arithmetic number, because the mean of its divisors is an integer number (514062990).

Almost surely, 2^10440777440 is an apocalyptic number.

10440777440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440777440 is an abundant number, since it is smaller than the sum of its proper divisors (14234246080).

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

10440777440 is a wasteful number, since it uses less digits than its factorization.

10440777440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22995 (or 22987 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 38.

The spelling of 10440777440 in words is "ten billion, four hundred forty million, seven hundred seventy-seven thousand, four hundred forty".