4904976384000 has 2112 divisors, whose sum is σ = 22864252948992. Its totient is φ = 1019215872000.

The previous prime is 4904976383987. The next prime is 4904976384037. The reversal of 4904976384000 is 4836794094.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 11! ⋅ 5! ⋅ (2!)¹⁰.

4904976384000 is a `hidden beast` number, since 4 + 90 + 4 + 97 + 63 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445906943995 + ... + 445906944005.

Almost surely, 2^{4904976384000} is an apocalyptic number.

4904976384000 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 4904976384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11432126474496).

4904976384000 is an abundant number, since it is smaller than the sum of its proper divisors (17959276564992).

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

4904976384000 is an frugal number, since it uses more digits than its factorization.

4904976384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4904976384000 in words is "four trillion, nine hundred four billion, nine hundred seventy-six million, three hundred eighty-four thousand".