10709418240 has 504 divisors, whose sum is σ = 40213656000. Its totient is φ = 2726203392.

The previous prime is 10709418233. The next prime is 10709418253. The reversal of 10709418240 is 4281490701.

It is a super-2 number, since 2×10709418240² (a number of 21 digits) contains 22 as substring.

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 = 10709418195 and 10709418204.

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 55 ways as a sum of consecutive naturals, for example, 21461511 + ... + 21462009.

It is an arithmetic number, because the mean of its divisors is an integer number (79789000).

Almost surely, 2^10709418240 is an apocalyptic number.

10709418240 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 10709418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106828000).

10709418240 is an abundant number, since it is smaller than the sum of its proper divisors (29504237760).

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

10709418240 is an frugal number, since it uses more digits than its factorization.

10709418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10709418240 in words is "ten billion, seven hundred nine million, four hundred eighteen thousand, two hundred forty".