2401321034020 has 72 divisors (see below), whose sum is σ = 5322743403768. Its totient is φ = 909873216000.

The previous prime is 2401321034003. The next prime is 2401321034107. The reversal of 2401321034020 is 204301231042.

It can be written as a sum of positive squares in 4 ways, for example, as 234519369984 + 2166801664036 = 484272^2 + 1472006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2401321033982 and 2401321034000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112195320 + ... + 112216720.

It is an arithmetic number, because the mean of its divisors is an integer number (73926991719).

Almost surely, 2^{2401321034020} is an apocalyptic number.

2401321034020 is a gapful number since it is divisible by the number (20) 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 2401321034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661371701884).

2401321034020 is an abundant number, since it is smaller than the sum of its proper divisors (2921422369748).

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

2401321034020 is a wasteful number, since it uses less digits than its factorization.

2401321034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36989 (or 36968 counting only the distinct ones).

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

Adding to 2401321034020 its reverse (204301231042), we get a palindrome (2605622265062).

The spelling of 2401321034020 in words is "two trillion, four hundred one billion, three hundred twenty-one million, thirty-four thousand, twenty".