4343135677440 has 704 divisors, whose sum is σ = 16223628263424. Its totient is φ = 971185324032.

The previous prime is 4343135677417. The next prime is 4343135677537. The reversal of 4343135677440 is 447765313434.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996815742 + ... + 996820098.

Almost surely, 2^{4343135677440} is an apocalyptic number.

4343135677440 is a gapful number since it is divisible by the number (40) 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 4343135677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111814131712).

4343135677440 is an abundant number, since it is smaller than the sum of its proper divisors (11880492585984).

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

4343135677440 is a wasteful number, since it uses less digits than its factorization.

4343135677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 51.

The spelling of 4343135677440 in words is "four trillion, three hundred forty-three billion, one hundred thirty-five million, six hundred seventy-seven thousand, four hundred forty".