4957124928000 has 1920 divisors, whose sum is σ = 21083571565056. Its totient is φ = 1008599040000.

The previous prime is 4957124927933. The next prime is 4957124928001. The reversal of 4957124928000 is 8294217594.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957124928001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8248127700 + ... + 8248128300.

Almost surely, 2^{4957124928000} is an apocalyptic number.

4957124928000 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 4957124928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541785782528).

4957124928000 is an abundant number, since it is smaller than the sum of its proper divisors (16126446637056).

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

4957124928000 is a wasteful number, since it uses less digits than its factorization.

4957124928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 4957124928000 in words is "four trillion, nine hundred fifty-seven billion, one hundred twenty-four million, nine hundred twenty-eight thousand".