4641123792480 has 384 divisors, whose sum is σ = 17121470929920. Its totient is φ = 1034597007360.

The previous prime is 4641123792457. The next prime is 4641123792509. The reversal of 4641123792480 is 842973211464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746518332 + ... + 746524548.

It is an arithmetic number, because the mean of its divisors is an integer number (44587163880).

Almost surely, 2^{4641123792480} is an apocalyptic number.

4641123792480 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 4641123792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560735464960).

4641123792480 is an abundant number, since it is smaller than the sum of its proper divisors (12480347137440).

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

4641123792480 is a wasteful number, since it uses less digits than its factorization.

4641123792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 4641123792480 in words is "four trillion, six hundred forty-one billion, one hundred twenty-three million, seven hundred ninety-two thousand, four hundred eighty".