4261935790080 has 288 divisors, whose sum is σ = 15247601066880. Its totient is φ = 1099853660160.

The previous prime is 4261935790067. The next prime is 4261935790129. The reversal of 4261935790080 is 800975391624.

4261935790080 is a `hidden beast` number, since 4 + 2 + 61 + 9 + 3 + 579 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4261935789999 and 4261935790026.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2111074 + ... + 3602846.

It is an arithmetic number, because the mean of its divisors is an integer number (52943059260).

It is a 1-persistent number, because it is pandigital, but 2⋅4261935790080 = 8523871580160 is not.

Almost surely, 2^{4261935790080} is an apocalyptic number.

4261935790080 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 4261935790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623800533440).

4261935790080 is an abundant number, since it is smaller than the sum of its proper divisors (10985665276800).

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

4261935790080 is a wasteful number, since it uses less digits than its factorization.

4261935790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491837 (or 1491814 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4261935790080 in words is "four trillion, two hundred sixty-one billion, nine hundred thirty-five million, seven hundred ninety thousand, eighty".