4976142336 has 384 divisors, whose sum is σ = 16440278400. Its totient is φ = 1492992000.

The previous prime is 4976142331. The next prime is 4976142373. The reversal of 4976142336 is 6332416794.

4976142336 is a `hidden beast` number, since 4 + 9 + 7 + 614 + 23 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4976142291 and 4976142300.

It is not an unprimeable number, because it can be changed into a prime (4976142331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49268686 + ... + 49268786.

It is an arithmetic number, because the mean of its divisors is an integer number (42813225).

Almost surely, 2^4976142336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4976142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220139200).

4976142336 is an abundant number, since it is smaller than the sum of its proper divisors (11464136064).

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

4976142336 is an equidigital number, since it uses as much as digits as its factorization.

4976142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 4976142336 is about 70541.7772387399. Note that the first 3 decimals coincide. The cubic root of 4976142336 is about 1707.2518739652.

The spelling of 4976142336 in words is "four billion, nine hundred seventy-six million, one hundred forty-two thousand, three hundred thirty-six".