4971904000 has 352 divisors, whose sum is σ = 14714818560. Its totient is φ = 1640448000.

The previous prime is 4971903973. The next prime is 4971904009. The reversal of 4971904000 is 4091794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971904009) 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, 27775911 + ... + 27776089.

Almost surely, 2^4971904000 is an apocalyptic number.

4971904000 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 4971904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357409280).

4971904000 is an abundant number, since it is smaller than the sum of its proper divisors (9742914560).

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

4971904000 is a wasteful number, since it uses less digits than its factorization.

4971904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 4971904000 is about 70511.7295206975. The cubic root of 4971904000 is about 1706.7670296882.

Adding to 4971904000 its reverse (4091794), we get a palindrome (4975995794).

The spelling of 4971904000 in words is "four billion, nine hundred seventy-one million, nine hundred four thousand".