1311422142240 has 288 divisors, whose sum is σ = 5184611542656. Its totient is φ = 295647252480.

The previous prime is 1311422142229. The next prime is 1311422142293. The reversal of 1311422142240 is 422412241131.

1311422142240 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 422 + 14 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 155266 + ... + 1626945.

It is an arithmetic number, because the mean of its divisors is an integer number (18002123412).

Almost surely, 2^{1311422142240} is an apocalyptic number.

1311422142240 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 1311422142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592305771328).

1311422142240 is an abundant number, since it is smaller than the sum of its proper divisors (3873189400416).

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

1311422142240 is a wasteful number, since it uses less digits than its factorization.

1311422142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782312 (or 1782301 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1311422142240 its reverse (422412241131), we get a palindrome (1733834383371).

The spelling of 1311422142240 in words is "one trillion, three hundred eleven billion, four hundred twenty-two million, one hundred forty-two thousand, two hundred forty".