10817742240 has 192 divisors, whose sum is σ = 37911888000. Its totient is φ = 2880940032.

The previous prime is 10817742239. The next prime is 10817742241. The reversal of 10817742240 is 4224771801.

It is an interprime number because it is at equal distance from previous prime (10817742239) and next prime (10817742241).

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 = 10817742195 and 10817742204.

It is not an unprimeable number, because it can be changed into a prime (10817742241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5152711 + ... + 5154809.

It is an arithmetic number, because the mean of its divisors is an integer number (197457750).

Almost surely, 2^10817742240 is an apocalyptic number.

10817742240 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 10817742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18955944000).

10817742240 is an abundant number, since it is smaller than the sum of its proper divisors (27094145760).

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

10817742240 is a wasteful number, since it uses less digits than its factorization.

10817742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 10817742240 in words is "ten billion, eight hundred seventeen million, seven hundred forty-two thousand, two hundred forty".