4991238040320 has 1728 divisors, whose sum is σ = 21437946077184. Its totient is φ = 1087853690880.

The previous prime is 4991238040301. The next prime is 4991238040337. The reversal of 4991238040320 is 230408321994.

4991238040320 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 238 + 0 + 403 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4927184134 + ... + 4927185146.

Almost surely, 2^{4991238040320} is an apocalyptic number.

4991238040320 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 4991238040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10718973038592).

4991238040320 is an abundant number, since it is smaller than the sum of its proper divisors (16446708036864).

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

4991238040320 is a wasteful number, since it uses less digits than its factorization.

4991238040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4991238040320 in words is "four trillion, nine hundred ninety-one billion, two hundred thirty-eight million, forty thousand, three hundred twenty".