1011411431440 has 60 divisors (see below), whose sum is σ = 2407490496684. Its totient is φ = 395156036352.

The previous prime is 1011411431389. The next prime is 1011411431447. The reversal of 1011411431440 is 441341141101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 296162347264 + 715249084176 = 544208^2 + 845724^2 .

It is not an unprimeable number, because it can be changed into a prime (1011411431447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3270859 + ... + 3566698.

Almost surely, 2^{1011411431440} is an apocalyptic number.

1011411431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011411431440 is an abundant number, since it is smaller than the sum of its proper divisors (1396079065244).

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

1011411431440 is an equidigital number, since it uses as much as digits as its factorization.

1011411431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837656 (or 6837607 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 1011411431440 its reverse (441341141101), we get a palindrome (1452752572541).

The spelling of 1011411431440 in words is "one trillion, eleven billion, four hundred eleven million, four hundred thirty-one thousand, four hundred forty".