2401202401104 has 160 divisors (see below), whose sum is σ = 6865521967360. Its totient is φ = 718370021376.

The previous prime is 2401202401097. The next prime is 2401202401109. The reversal of 2401202401104 is 4011042021042.

It is a super-2 number, since 2×2401202401104² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401202401109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34343109 + ... + 34412955.

It is an arithmetic number, because the mean of its divisors is an integer number (42909512296).

Almost surely, 2^{2401202401104} is an apocalyptic number.

2401202401104 is a gapful number since it is divisible by the number (24) 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 2401202401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432760983680).

2401202401104 is an abundant number, since it is smaller than the sum of its proper divisors (4464319566256).

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

2401202401104 is a wasteful number, since it uses less digits than its factorization.

2401202401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71397 (or 71391 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2401202401104 its reverse (4011042021042), we get a palindrome (6412244422146).

The spelling of 2401202401104 in words is "two trillion, four hundred one billion, two hundred two million, four hundred one thousand, one hundred four".