1311140041400 has 192 divisors, whose sum is σ = 3756697056000. Its totient is φ = 415486540800.

The previous prime is 1311140041373. The next prime is 1311140041417. The reversal of 1311140041400 is 41400411131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489491 + ... + 1691709.

It is an arithmetic number, because the mean of its divisors is an integer number (19566130500).

Almost surely, 2^{1311140041400} is an apocalyptic number.

1311140041400 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 1311140041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878348528000).

1311140041400 is an abundant number, since it is smaller than the sum of its proper divisors (2445557014600).

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

1311140041400 is a wasteful number, since it uses less digits than its factorization.

1311140041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202302 (or 1202293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1311140041400 its reverse (41400411131), we get a palindrome (1352540452531).

The spelling of 1311140041400 in words is "one trillion, three hundred eleven billion, one hundred forty million, forty-one thousand, four hundred".