4961456128000 has 512 divisors, whose sum is σ = 12763785340800. Its totient is φ = 1924792320000.

The previous prime is 4961456127997. The next prime is 4961456128009. The reversal of 4961456128000 is 8216541694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (4961456128009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27717631911 + ... + 27717632089.

Almost surely, 2^{4961456128000} is an apocalyptic number.

4961456128000 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 4961456128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381892670400).

4961456128000 is an abundant number, since it is smaller than the sum of its proper divisors (7802329212800).

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

4961456128000 is an equidigital number, since it uses as much as digits as its factorization.

4961456128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 4961456128000 in words is "four trillion, nine hundred sixty-one billion, four hundred fifty-six million, one hundred twenty-eight thousand".