1311222040040 has 128 divisors (see below), whose sum is σ = 3234477312000. Its totient is φ = 474440198400.

The previous prime is 1311222040039. The next prime is 1311222040081. The reversal of 1311222040040 is 400402221131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1311222039994 and 1311222040021.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73198685 + ... + 73216595.

It is an arithmetic number, because the mean of its divisors is an integer number (25269354000).

Almost surely, 2^{1311222040040} is an apocalyptic number.

1311222040040 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 1311222040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617238656000).

1311222040040 is an abundant number, since it is smaller than the sum of its proper divisors (1923255271960).

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

1311222040040 is a wasteful number, since it uses less digits than its factorization.

1311222040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18751 (or 18747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1311222040040 its reverse (400402221131), we get a palindrome (1711624261171).

The spelling of 1311222040040 in words is "one trillion, three hundred eleven billion, two hundred twenty-two million, forty thousand, forty".