4928926464000 has 3360 divisors, whose sum is σ = 23468915499120. Its totient is φ = 1024192512000.

The previous prime is 4928926463969. The next prime is 4928926464043. The reversal of 4928926464000 is 4646298294.

4928926464000 is a `hidden beast` number, since 4 + 92 + 8 + 92 + 6 + 464 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 448084223995 + ... + 448084224005.

Almost surely, 2^{4928926464000} is an apocalyptic number.

4928926464000 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 4928926464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734457749560).

4928926464000 is an abundant number, since it is smaller than the sum of its proper divisors (18539989035120).

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

4928926464000 is an frugal number, since it uses more digits than its factorization.

4928926464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4928926464000 in words is "four trillion, nine hundred twenty-eight billion, nine hundred twenty-six million, four hundred sixty-four thousand".