1041011100440 has 128 divisors (see below), whose sum is σ = 2435844096000. Its totient is φ = 399980021760.

The previous prime is 1041011100433. The next prime is 1041011100449. The reversal of 1041011100440 is 440011101401.

It is a super-2 number, since 2×1041011100440² (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 (1041011100449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106842209 + ... + 106851951.

It is an arithmetic number, because the mean of its divisors is an integer number (19030032000).

Almost surely, 2^{1041011100440} is an apocalyptic number.

1041011100440 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 1041011100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217922048000).

1041011100440 is an abundant number, since it is smaller than the sum of its proper divisors (1394832995560).

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

1041011100440 is a wasteful number, since it uses less digits than its factorization.

1041011100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1041011100440 its reverse (440011101401), we get a palindrome (1481022201841).

The spelling of 1041011100440 in words is "one trillion, forty-one billion, eleven million, one hundred thousand, four hundred forty".