14202340013400 has 384 divisors, whose sum is σ = 54908282073600. Its totient is φ = 2950213017600.

The previous prime is 14202340013383. The next prime is 14202340013401. The reversal of 14202340013400 is 431004320241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14202340013401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153014206 + ... + 153106994.

It is an arithmetic number, because the mean of its divisors is an integer number (142990317900).

Almost surely, 2^{14202340013400} is an apocalyptic number.

14202340013400 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 14202340013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27454141036800).

14202340013400 is an abundant number, since it is smaller than the sum of its proper divisors (40705942060200).

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

14202340013400 is a wasteful number, since it uses less digits than its factorization.

14202340013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96139 (or 96130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14202340013400 its reverse (431004320241), we get a palindrome (14633344333641).

The spelling of 14202340013400 in words is "fourteen trillion, two hundred two billion, three hundred forty million, thirteen thousand, four hundred".