10540122240 has 256 divisors, whose sum is σ = 34517975040. Its totient is φ = 2734387200.

The previous prime is 10540122223. The next prime is 10540122259. The reversal of 10540122240 is 4222104501.

It is a super-2 number, since 2×10540122240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24454825 + ... + 24455255.

It is an arithmetic number, because the mean of its divisors is an integer number (134835840).

Almost surely, 2^10540122240 is an apocalyptic number.

10540122240 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 10540122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258987520).

10540122240 is an abundant number, since it is smaller than the sum of its proper divisors (23977852800).

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

10540122240 is a wasteful number, since it uses less digits than its factorization.

10540122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10540122240 its reverse (4222104501), we get a palindrome (14762226741).

The spelling of 10540122240 in words is "ten billion, five hundred forty million, one hundred twenty-two thousand, two hundred forty".