4916095303680 has 1920 divisors, whose sum is σ = 20196467343360. Its totient is φ = 1123685498880.

The previous prime is 4916095303661. The next prime is 4916095303697. The reversal of 4916095303680 is 863035906194.

4916095303680 is a `hidden beast` number, since 4 + 9 + 160 + 95 + 30 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38709411777 + ... + 38709411903.

It is an arithmetic number, because the mean of its divisors is an integer number (10518993408).

Almost surely, 2^{4916095303680} is an apocalyptic number.

4916095303680 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 4916095303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10098233671680).

4916095303680 is an abundant number, since it is smaller than the sum of its proper divisors (15280372039680).

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

4916095303680 is a wasteful number, since it uses less digits than its factorization.

4916095303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 4916095303680 in words is "four trillion, nine hundred sixteen billion, ninety-five million, three hundred three thousand, six hundred eighty".