1005551220040 has 32 divisors (see below), whose sum is σ = 2294356311360. Its totient is φ = 396555409600.

The previous prime is 1005551220017. The next prime is 1005551220041. The reversal of 1005551220040 is 400221555001.

It is a super-2 number, since 2×1005551220040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005551219987 and 1005551220014.

It is not an unprimeable number, because it can be changed into a prime (1005551220041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177030826 + ... + 177036505.

It is an arithmetic number, because the mean of its divisors is an integer number (71698634730).

Almost surely, 2^{1005551220040} is an apocalyptic number.

1005551220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005551220040 is an abundant number, since it is smaller than the sum of its proper divisors (1288805091320).

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

1005551220040 is a wasteful number, since it uses less digits than its factorization.

1005551220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354067413 (or 354067409 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 1005551220040 its reverse (400221555001), we get a palindrome (1405772775041).

The spelling of 1005551220040 in words is "one trillion, five billion, five hundred fifty-one million, two hundred twenty thousand, forty".