4206295941120 has 2304 divisors, whose sum is σ = 19069288318080. Its totient is φ = 866843099136.

The previous prime is 4206295941059. The next prime is 4206295941139. The reversal of 4206295941120 is 211495926024.

4206295941120 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 29 + 594 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

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, 97820835819 + ... + 97820835861.

Almost surely, 2^{4206295941120} is an apocalyptic number.

4206295941120 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 4206295941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534644159040).

4206295941120 is an abundant number, since it is smaller than the sum of its proper divisors (14862992376960).

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

4206295941120 is an frugal number, since it uses more digits than its factorization.

4206295941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 4206295 and 941120, that added together give a palindrome (5147415).

The spelling of 4206295941120 in words is "four trillion, two hundred six billion, two hundred ninety-five million, nine hundred forty-one thousand, one hundred twenty".