4976541000 has 192 divisors, whose sum is σ = 17139723120. Its totient is φ = 1301913600.

The previous prime is 4976540993. The next prime is 4976541023. The reversal of 4976541000 is 1456794.

4976541000 is a `hidden beast` number, since 49 + 76 + 541 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 645058404 + 4331482596 = 25398^2 + 65814^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471784 + ... + 482216.

Almost surely, 2^4976541000 is an apocalyptic number.

4976541000 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 4976541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8569861560).

4976541000 is an abundant number, since it is smaller than the sum of its proper divisors (12163182120).

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

4976541000 is a wasteful number, since it uses less digits than its factorization.

4976541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4976541000 is about 70544.6029119167. The cubic root of 4976541000 is about 1707.2974649498.

Adding to 4976541000 its reverse (1456794), we get a palindrome (4977997794).

The spelling of 4976541000 in words is "four billion, nine hundred seventy-six million, five hundred forty-one thousand".