4985440496100 has 135 divisors (see below), whose sum is σ = 16161479967787. Its totient is φ = 1329397211520.

The previous prime is 4985440496087. The next prime is 4985440496137. The reversal of 4985440496100 is 16940445894.

The square root of 4985440496100 is 2232810.

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

4985440496100 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 4 + 40 + 496 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396968042916 + 4588472453184 = 630054^2 + 2142072^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 200940496 + ... + 200965304.

Almost surely, 2^{4985440496100} is an apocalyptic number.

4985440496100 is the 2232810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4985440496100

4985440496100 is an abundant number, since it is smaller than the sum of its proper divisors (11176039471687).

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

4985440496100 is an frugal number, since it uses more digits than its factorization.

4985440496100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49644 (or 24819 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4985440496100 in words is "four trillion, nine hundred eighty-five billion, four hundred forty million, four hundred ninety-six thousand, one hundred".