4816401276960 has 1440 divisors, whose sum is σ = 21123070036992. Its totient is φ = 1011979837440.

The previous prime is 4816401276943. The next prime is 4816401276997. The reversal of 4816401276960 is 696721046184.

4816401276960 is a `hidden beast` number, since 4 + 81 + 6 + 401 + 2 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 4816401276897 and 4816401276906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4860142065 + ... + 4860143055.

Almost surely, 2^{4816401276960} is an apocalyptic number.

4816401276960 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 4816401276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561535018496).

4816401276960 is an abundant number, since it is smaller than the sum of its proper divisors (16306668760032).

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

4816401276960 is a wasteful number, since it uses less digits than its factorization.

4816401276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4816401276960 in words is "four trillion, eight hundred sixteen billion, four hundred one million, two hundred seventy-six thousand, nine hundred sixty".