14401011243400 has 96 divisors (see below), whose sum is σ = 34648063632000. Its totient is φ = 5559979685120.

The previous prime is 14401011243343. The next prime is 14401011243403. The reversal of 14401011243400 is 434211010441.

14401011243400 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 (25).

It is not an unprimeable number, because it can be changed into a prime (14401011243403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17692167 + ... + 18488233.

It is an arithmetic number, because the mean of its divisors is an integer number (360917329500).

Almost surely, 2^{14401011243400} is an apocalyptic number.

14401011243400 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 14401011243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324031816000).

14401011243400 is an abundant number, since it is smaller than the sum of its proper divisors (20247052388600).

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

14401011243400 is a wasteful number, since it uses less digits than its factorization.

14401011243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799231 (or 799222 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14401011243400 its reverse (434211010441), we get a palindrome (14835222253841).

The spelling of 14401011243400 in words is "fourteen trillion, four hundred one billion, eleven million, two hundred forty-three thousand, four hundred".