4263291105120 has 288 divisors, whose sum is σ = 15574005457920. Its totient is φ = 1100203845120.

The previous prime is 4263291105091. The next prime is 4263291105127. The reversal of 4263291105120 is 215011923624.

4263291105120 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 29 + 110 + 512 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4263291105127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563310 + ... + 2973869.

It is an arithmetic number, because the mean of its divisors is an integer number (54076407840).

Almost surely, 2^{4263291105120} is an apocalyptic number.

4263291105120 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 4263291105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787002728960).

4263291105120 is an abundant number, since it is smaller than the sum of its proper divisors (11310714352800).

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

4263291105120 is a wasteful number, since it uses less digits than its factorization.

4263291105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537240 (or 3537220 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 4263291105120 in words is "four trillion, two hundred sixty-three billion, two hundred ninety-one million, one hundred five thousand, one hundred twenty".