4928626348800 has 1296 divisors, whose sum is σ = 21082437637632. Its totient is φ = 1002241228800.

The previous prime is 4928626348787. The next prime is 4928626348837. The reversal of 4928626348800 is 88436268294.

It is a super-2 number, since 2×4928626348800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 143 ways as a sum of consecutive naturals, for example, 486388534 + ... + 486398666.

It is an arithmetic number, because the mean of its divisors is an integer number (16267312992).

Almost surely, 2^{4928626348800} is an apocalyptic number.

4928626348800 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 4928626348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541218818816).

4928626348800 is an abundant number, since it is smaller than the sum of its proper divisors (16153811288832).

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

4928626348800 is a wasteful number, since it uses less digits than its factorization.

4928626348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 4928626348800 in words is "four trillion, nine hundred twenty-eight billion, six hundred twenty-six million, three hundred forty-eight thousand, eight hundred".