4791239432100 has 945 divisors, whose sum is σ = 17406828622785. Its totient is φ = 1144176580800.

The previous prime is 4791239432071. The next prime is 4791239432117. The reversal of 4791239432100 is 12349321974.

The square root of 4791239432100 is 2188890.

It is a perfect power (a square), and thus also a powerful number.

4791239432100 is a `hidden beast` number, since 4 + 7 + 91 + 23 + 9 + 432 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1724846195556 + 3066393236544 = 1313334^2 + 1751112^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 71511036267 + ... + 71511036333.

Almost surely, 2^{4791239432100} is an apocalyptic number.

4791239432100 is the 2188890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4791239432100

4791239432100 is an abundant number, since it is smaller than the sum of its proper divisors (12615589190685).

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

4791239432100 is an frugal number, since it uses more digits than its factorization.

4791239432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 4791239432100 in words is "four trillion, seven hundred ninety-one billion, two hundred thirty-nine million, four hundred thirty-two thousand, one hundred".