4291056101760 has 256 divisors, whose sum is σ = 13792564440000. Its totient is φ = 1134701346816.

The previous prime is 4291056101743. The next prime is 4291056101789. The reversal of 4291056101760 is 671016501924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175354806 + ... + 175379274.

Almost surely, 2^{4291056101760} is an apocalyptic number.

4291056101760 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 4291056101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896282220000).

4291056101760 is an abundant number, since it is smaller than the sum of its proper divisors (9501508338240).

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

4291056101760 is a wasteful number, since it uses less digits than its factorization.

4291056101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25253 (or 25241 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 4291056101760 in words is "four trillion, two hundred ninety-one billion, fifty-six million, one hundred one thousand, seven hundred sixty".