1005540011224 has 64 divisors (see below), whose sum is σ = 2169691776000. Its totient is φ = 427957997184.

The previous prime is 1005540011221. The next prime is 1005540011227. The reversal of 1005540011224 is 4221100455001.

It is an interprime number because it is at equal distance from previous prime (1005540011221) and next prime (1005540011227).

It is a super-2 number, since 2×1005540011224² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005540011221) by changing a digit.

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, 9890602 + ... + 9991750.

It is an arithmetic number, because the mean of its divisors is an integer number (33901434000).

Almost surely, 2^{1005540011224} is an apocalyptic number.

1005540011224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005540011224 is an abundant number, since it is smaller than the sum of its proper divisors (1164151764776).

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

1005540011224 is a wasteful number, since it uses less digits than its factorization.

1005540011224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102392 (or 102388 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 1005540011224 its reverse (4221100455001), we get a palindrome (5226640466225).

The spelling of 1005540011224 in words is "one trillion, five billion, five hundred forty million, eleven thousand, two hundred twenty-four".