12401024040 has 96 divisors (see below), whose sum is σ = 40392055080. Its totient is φ = 3299659776.

The previous prime is 12401024033. The next prime is 12401024089. The reversal of 12401024040 is 4042010421.

It can be written as a sum of positive squares in 4 ways, for example, as 12391697124 + 9326916 = 111318^2 + 3054^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 126832 + ... + 202208.

Almost surely, 2^12401024040 is an apocalyptic number.

12401024040 is a gapful number since it is divisible by the number (10) 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 12401024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196027540).

12401024040 is an abundant number, since it is smaller than the sum of its proper divisors (27991031040).

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

12401024040 is a wasteful number, since it uses less digits than its factorization.

12401024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75851 (or 75844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12401024040 its reverse (4042010421), we get a palindrome (16443034461).

The spelling of 12401024040 in words is "twelve billion, four hundred one million, twenty-four thousand, forty".