14379028028400 has 360 divisors, whose sum is σ = 53624540123760. Its totient is φ = 3283961425920.

The previous prime is 14379028028371. The next prime is 14379028028429. The reversal of 14379028028400 is 482082097341.

It is an interprime number because it is at equal distance from previous prime (14379028028371) and next prime (14379028028429).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14379028028400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72636756 + ... + 72834444.

Almost surely, 2^{14379028028400} is an apocalyptic number.

14379028028400 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 14379028028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812270061880).

14379028028400 is an abundant number, since it is smaller than the sum of its proper divisors (39245512095360).

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

14379028028400 is a wasteful number, since it uses less digits than its factorization.

14379028028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198961 (or 198943 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 14379028028400 in words is "fourteen trillion, three hundred seventy-nine billion, twenty-eight million, twenty-eight thousand, four hundred".