4096346520240 has 240 divisors, whose sum is σ = 14818037314080. Its totient is φ = 1008132894720.

The previous prime is 4096346520179. The next prime is 4096346520269. The reversal of 4096346520240 is 420256436904.

4096346520240 is a `hidden beast` number, since 4 + 0 + 9 + 63 + 46 + 520 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50681460 + ... + 50762220.

It is an arithmetic number, because the mean of its divisors is an integer number (61741822142).

Almost surely, 2^{4096346520240} is an apocalyptic number.

4096346520240 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 4096346520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409018657040).

4096346520240 is an abundant number, since it is smaller than the sum of its proper divisors (10721690793840).

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

4096346520240 is a wasteful number, since it uses less digits than its factorization.

4096346520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86212 (or 86203 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4096346520240 in words is "four trillion, ninety-six billion, three hundred forty-six million, five hundred twenty thousand, two hundred forty".