1340000214432 has 96 divisors (see below), whose sum is σ = 3846015613440. Its totient is φ = 405135563520.

The previous prime is 1340000214341. The next prime is 1340000214437. The reversal of 1340000214432 is 2344120000431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1340000214437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981678 + ... + 1908845.

It is an arithmetic number, because the mean of its divisors is an integer number (40062662640).

Almost surely, 2^{1340000214432} is an apocalyptic number.

1340000214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1340000214432 is an abundant number, since it is smaller than the sum of its proper divisors (2506015399008).

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

1340000214432 is a wasteful number, since it uses less digits than its factorization.

1340000214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890986 (or 2890978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1340000214432 its reverse (2344120000431), we get a palindrome (3684120214863).

The spelling of 1340000214432 in words is "one trillion, three hundred forty billion, two hundred fourteen thousand, four hundred thirty-two".