20428004979200 has 1440 divisors, whose sum is σ = 69057670651200. Its totient is φ = 5912354488320.

The previous prime is 20428004979199. The next prime is 20428004979209. The reversal of 20428004979200 is 297940082402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20428004979209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4492631327 + ... + 4492635873.

It is an arithmetic number, because the mean of its divisors is an integer number (47956715730).

Almost surely, 2^{20428004979200} is an apocalyptic number.

20428004979200 is a gapful number since it is divisible by the number (20) 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 20428004979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34528835325600).

20428004979200 is an abundant number, since it is smaller than the sum of its proper divisors (48629665672000).

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

20428004979200 is a wasteful number, since it uses less digits than its factorization.

20428004979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 20428004979200 in words is "twenty trillion, four hundred twenty-eight billion, four million, nine hundred seventy-nine thousand, two hundred".