4930668288000 has 3456 divisors, whose sum is σ = 23148874344960. Its totient is φ = 1024789708800.

The previous prime is 4930668287899. The next prime is 4930668288011. The reversal of 4930668288000 is 8828660394.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×4930668288000² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 73592063967 + ... + 73592064033.

It is an arithmetic number, because the mean of its divisors is an integer number (6698169660).

Almost surely, 2^{4930668288000} is an apocalyptic number.

4930668288000 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 4930668288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574437172480).

4930668288000 is an abundant number, since it is smaller than the sum of its proper divisors (18218206056960).

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

4930668288000 is an equidigital number, since it uses as much as digits as its factorization.

4930668288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4930668288000 in words is "four trillion, nine hundred thirty billion, six hundred sixty-eight million, two hundred eighty-eight thousand".