4954128379200 has 3024 divisors, whose sum is σ = 24732873494784. Its totient is φ = 923863449600.

The previous prime is 4954128379129. The next prime is 4954128379243. The reversal of 4954128379200 is 29738214594.

4954128379200 is a `hidden beast` number, since 4 + 9 + 5 + 41 + 28 + 379 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 3733328937 + ... + 3733330263.

Almost surely, 2^{4954128379200} is an apocalyptic number.

4954128379200 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 4954128379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366436747392).

4954128379200 is an abundant number, since it is smaller than the sum of its proper divisors (19778745115584).

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

4954128379200 is a wasteful number, since it uses less digits than its factorization.

4954128379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4954128379200 in words is "four trillion, nine hundred fifty-four billion, one hundred twenty-eight million, three hundred seventy-nine thousand, two hundred".