4979104400340 has 288 divisors, whose sum is σ = 17687444995584. Its totient is φ = 1109974302720.

The previous prime is 4979104400323. The next prime is 4979104400353. The reversal of 4979104400340 is 430044019794.

4979104400340 is a `hidden beast` number, since 4 + 97 + 91 + 0 + 440 + 0 + 34 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186840897 + ... + 186867543.

It is an arithmetic number, because the mean of its divisors is an integer number (61414739568).

Almost surely, 2^{4979104400340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4979104400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843722497792).

4979104400340 is an abundant number, since it is smaller than the sum of its proper divisors (12708340595244).

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

4979104400340 is a wasteful number, since it uses less digits than its factorization.

4979104400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30327 (or 30322 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4979104400340 in words is "four trillion, nine hundred seventy-nine billion, one hundred four million, four hundred thousand, three hundred forty".