4091129856000 has 2560 divisors, whose sum is σ = 17813356704000. Its totient is φ = 923664384000.

The previous prime is 4091129855929. The next prime is 4091129856007. The reversal of 4091129856000 is 6589211904.

4091129856000 is a `hidden beast` number, since 4 + 0 + 9 + 11 + 29 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4091129856007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69341183971 + ... + 69341184029.

Almost surely, 2^{4091129856000} is an apocalyptic number.

4091129856000 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 4091129856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906678352000).

4091129856000 is an abundant number, since it is smaller than the sum of its proper divisors (13722226848000).

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

4091129856000 is an equidigital number, since it uses as much as digits as its factorization.

4091129856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 4091129856000 in words is "four trillion, ninety-one billion, one hundred twenty-nine million, eight hundred fifty-six thousand".