13402442000400 has 240 divisors, whose sum is σ = 45656451907200. Its totient is φ = 3349060116480.

The previous prime is 13402442000399. The next prime is 13402442000407. The reversal of 13402442000400 is 400024420431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13402442000407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237141 + ... + 6106059.

It is an arithmetic number, because the mean of its divisors is an integer number (190235216280).

Almost surely, 2^{13402442000400} is an apocalyptic number.

13402442000400 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 13402442000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22828225953600).

13402442000400 is an abundant number, since it is smaller than the sum of its proper divisors (32254009906800).

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

13402442000400 is a wasteful number, since it uses less digits than its factorization.

13402442000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869186 (or 2869175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 13402442000400 its reverse (400024420431), we get a palindrome (13802466420831).

The spelling of 13402442000400 in words is "thirteen trillion, four hundred two billion, four hundred forty-two million, four hundred", and thus it is an aban number.