1342131287040 has 528 divisors, whose sum is σ = 4775188541760. Its totient is φ = 348344156160.

The previous prime is 1342131287011. The next prime is 1342131287041. The reversal of 1342131287040 is 407821312431.

1342131287040 is a `hidden beast` number, since 1 + 3 + 421 + 3 + 128 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1342131286986 and 1342131287004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342131287041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562434131 + ... + 1562434989.

Almost surely, 2^{1342131287040} is an apocalyptic number.

1342131287040 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 1342131287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387594270880).

1342131287040 is an abundant number, since it is smaller than the sum of its proper divisors (3433057254720).

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

1342131287040 is a wasteful number, since it uses less digits than its factorization.

1342131287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 1342131287040 its reverse (407821312431), we get a palindrome (1749952599471).

The spelling of 1342131287040 in words is "one trillion, three hundred forty-two billion, one hundred thirty-one million, two hundred eighty-seven thousand, forty".