4091790064320 has 1008 divisors, whose sum is σ = 17716785585408. Its totient is φ = 894583388160.

The previous prime is 4091790064301. The next prime is 4091790064331. The reversal of 4091790064320 is 234600971904.

It is a happy number.

4091790064320 is a `hidden beast` number, since 40 + 9 + 179 + 0 + 0 + 6 + 432 + 0 = 666.

4091790064320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87612175 + ... + 87658865.

It is an arithmetic number, because the mean of its divisors is an integer number (17576176176).

Almost surely, 2^{4091790064320} is an apocalyptic number.

4091790064320 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 4091790064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858392792704).

4091790064320 is an abundant number, since it is smaller than the sum of its proper divisors (13624995521088).

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

4091790064320 is a wasteful number, since it uses less digits than its factorization.

4091790064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46760 (or 46731 counting only the distinct ones).

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

The spelling of 4091790064320 in words is "four trillion, ninety-one billion, seven hundred ninety million, sixty-four thousand, three hundred twenty".