4034001322120 has 256 divisors, whose sum is σ = 11638811358720. Its totient is φ = 1221599232000.

The previous prime is 4034001322111. The next prime is 4034001322133. The reversal of 4034001322120 is 212231004304.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4034001322091 and 4034001322100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79860712 + ... + 79911208.

It is an arithmetic number, because the mean of its divisors is an integer number (45464106870).

Almost surely, 2^{4034001322120} is an apocalyptic number.

4034001322120 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 4034001322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819405679360).

4034001322120 is an abundant number, since it is smaller than the sum of its proper divisors (7604810036600).

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

4034001322120 is a wasteful number, since it uses less digits than its factorization.

4034001322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51264 (or 51260 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4034001322120 its reverse (212231004304), we get a palindrome (4246232326424).

The spelling of 4034001322120 in words is "four trillion, thirty-four billion, one million, three hundred twenty-two thousand, one hundred twenty".