1340143431000 has 256 divisors, whose sum is σ = 4562813099520. Its totient is φ = 324779840000.

The previous prime is 1340143430999. The next prime is 1340143431013. The reversal of 1340143431000 is 1343410431.

It is a super-2 number, since 2×1340143431000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 177569227 + ... + 177576773.

It is an arithmetic number, because the mean of its divisors is an integer number (17823488670).

Almost surely, 2^{1340143431000} is an apocalyptic number.

1340143431000 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 1340143431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281406549760).

1340143431000 is an abundant number, since it is smaller than the sum of its proper divisors (3222669668520).

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

1340143431000 is a wasteful number, since it uses less digits than its factorization.

1340143431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963 (or 12949 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1340143431000 its reverse (1343410431), we get a palindrome (1341486841431).

The spelling of 1340143431000 in words is "one trillion, three hundred forty billion, one hundred forty-three million, four hundred thirty-one thousand".