4971036000 has 768 divisors, whose sum is σ = 20288765952. Its totient is φ = 1039104000.

The previous prime is 4971035983. The next prime is 4971036001. The reversal of 4971036000 is 6301794.

It is a happy number.

It is a super-2 number, since 2×4971036000² = 49422397826592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971036001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59891959 + ... + 59892041.

It is an arithmetic number, because the mean of its divisors is an integer number (26417664).

Almost surely, 2^4971036000 is an apocalyptic number.

4971036000 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 4971036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10144382976).

4971036000 is an abundant number, since it is smaller than the sum of its proper divisors (15317729952).

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

4971036000 is a wasteful number, since it uses less digits than its factorization.

4971036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 4971036000 is about 70505.5742477146. The cubic root of 4971036000 is about 1706.6677008729.

Adding to 4971036000 its reverse (6301794), we get a palindrome (4977337794).

The spelling of 4971036000 in words is "four billion, nine hundred seventy-one million, thirty-six thousand".