1340336437440 has 2688 divisors, whose sum is σ = 6211131494400. Its totient is φ = 237657784320.

The previous prime is 1340336437381. The next prime is 1340336437459. The reversal of 1340336437440 is 447346330431.

It is a Cunningham number, because it is equal to 1157729²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1340336437392 and 1340336437401.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8995546486 + ... + 8995546634.

It is an arithmetic number, because the mean of its divisors is an integer number (2310688800).

Almost surely, 2^{1340336437440} is an apocalyptic number.

1340336437440 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 1340336437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105565747200).

1340336437440 is an abundant number, since it is smaller than the sum of its proper divisors (4870795056960).

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

1340336437440 is a wasteful number, since it uses less digits than its factorization.

1340336437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 1340336437440 in words is "one trillion, three hundred forty billion, three hundred thirty-six million, four hundred thirty-seven thousand, four hundred forty".