4340707607040 has 640 divisors, whose sum is σ = 16115376549888. Its totient is φ = 976252108800.

The previous prime is 4340707606909. The next prime is 4340707607051. The reversal of 4340707607040 is 407067070434.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 4340707606983 and 4340707607001.

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, 906767527 + ... + 906772313.

Almost surely, 2^{4340707607040} is an apocalyptic number.

4340707607040 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 4340707607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057688274944).

4340707607040 is an abundant number, since it is smaller than the sum of its proper divisors (11774668942848).

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

4340707607040 is a wasteful number, since it uses less digits than its factorization.

4340707607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 4340707607040 in words is "four trillion, three hundred forty billion, seven hundred seven million, six hundred seven thousand, forty".