4345434131640 has 1024 divisors, whose sum is σ = 16490594304000. Its totient is φ = 893933936640.

The previous prime is 4345434131611. The next prime is 4345434131651. The reversal of 4345434131640 is 461314345434.

4345434131640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4345434131592 and 4345434131601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6654569554 + ... + 6654570206.

It is an arithmetic number, because the mean of its divisors is an integer number (16104096000).

Almost surely, 2^{4345434131640} is an apocalyptic number.

4345434131640 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 4345434131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245297152000).

4345434131640 is an abundant number, since it is smaller than the sum of its proper divisors (12145160172360).

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

4345434131640 is a wasteful number, since it uses less digits than its factorization.

4345434131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 4345434131640 in words is "four trillion, three hundred forty-five billion, four hundred thirty-four million, one hundred thirty-one thousand, six hundred forty".