1431401340000 has 240 divisors, whose sum is σ = 4698812498688. Its totient is φ = 381420096000.

The previous prime is 1431401339993. The next prime is 1431401340007. The reversal of 1431401340000 is 431041341.

It is an interprime number because it is at equal distance from previous prime (1431401339993) and next prime (1431401340007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431401340007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86811757 + ... + 86828243.

Almost surely, 2^{1431401340000} is an apocalyptic number.

1431401340000 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 1431401340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349406249344).

1431401340000 is an abundant number, since it is smaller than the sum of its proper divisors (3267411158688).

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

1431401340000 is a wasteful number, since it uses less digits than its factorization.

1431401340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967 (or 17944 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1431401340000 its reverse (431041341), we get a palindrome (1431832381341).

The spelling of 1431401340000 in words is "one trillion, four hundred thirty-one billion, four hundred one million, three hundred forty thousand".