14389800017400 has 384 divisors, whose sum is σ = 51368042592000. Its totient is φ = 3698164753920.

The previous prime is 14389800017393. The next prime is 14389800017423. The reversal of 14389800017400 is 471000898341.

It is a happy number.

14389800017400 is a `hidden beast` number, since 143 + 8 + 98 + 0 + 0 + 0 + 17 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85576207 + ... + 85744193.

It is an arithmetic number, because the mean of its divisors is an integer number (133770944250).

Almost surely, 2^{14389800017400} is an apocalyptic number.

14389800017400 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 14389800017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25684021296000).

14389800017400 is an abundant number, since it is smaller than the sum of its proper divisors (36978242574600).

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

14389800017400 is a wasteful number, since it uses less digits than its factorization.

14389800017400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168588 (or 168573 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14389800017400 in words is "fourteen trillion, three hundred eighty-nine billion, eight hundred million, seventeen thousand, four hundred".