4975538400 has 540 divisors, whose sum is σ = 21120710688. Its totient is φ = 1136540160.

The previous prime is 4975538387. The next prime is 4975538437. The reversal of 4975538400 is 48355794.

4975538400 is a `hidden beast` number, since 4 + 9 + 75 + 538 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 89 ways as a sum of consecutive naturals, for example, 3174417 + ... + 3175983.

Almost surely, 2^4975538400 is an apocalyptic number.

4975538400 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 4975538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560355344).

4975538400 is an abundant number, since it is smaller than the sum of its proper divisors (16145172288).

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

4975538400 is a wasteful number, since it uses less digits than its factorization.

4975538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4975538400 is about 70537.4964114832. The cubic root of 4975538400 is about 1707.1828035546.

The spelling of 4975538400 in words is "four billion, nine hundred seventy-five million, five hundred thirty-eight thousand, four hundred".