4001251330020 has 192 divisors, whose sum is σ = 12846439710720. Its totient is φ = 911542967808.

The previous prime is 4001251330003. The next prime is 4001251330033. The reversal of 4001251330020 is 200331521004.

4001251330020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 461554246 + ... + 461562914.

It is an arithmetic number, because the mean of its divisors is an integer number (66908540160).

Almost surely, 2^{4001251330020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001251330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423219855360).

4001251330020 is an abundant number, since it is smaller than the sum of its proper divisors (8845188380700).

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

4001251330020 is a wasteful number, since it uses less digits than its factorization.

4001251330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202 (or 12200 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 4001251330020 its reverse (200331521004), we get a palindrome (4201582851024).

The spelling of 4001251330020 in words is "four trillion, one billion, two hundred fifty-one million, three hundred thirty thousand, twenty".