4096516468320 has 384 divisors, whose sum is σ = 15201058078080. Its totient is φ = 1026801008640.

The previous prime is 4096516468237. The next prime is 4096516468321. The reversal of 4096516468320 is 238646156904.

4096516468320 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 516 + 46 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096516468321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56733040 + ... + 56805200.

It is an arithmetic number, because the mean of its divisors is an integer number (39586088745).

Almost surely, 2^{4096516468320} is an apocalyptic number.

4096516468320 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 4096516468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600529039040).

4096516468320 is an abundant number, since it is smaller than the sum of its proper divisors (11104541609760).

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

4096516468320 is a wasteful number, since it uses less digits than its factorization.

4096516468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72975 (or 72961 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4096516468320 in words is "four trillion, ninety-six billion, five hundred sixteen million, four hundred sixty-eight thousand, three hundred twenty".