14264678400 has 288 divisors, whose sum is σ = 53897800320. Its totient is φ = 3260252160.

The previous prime is 14264678383. The next prime is 14264678437. The reversal of 14264678400 is 487646241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068567 + ... + 1081833.

It is an arithmetic number, because the mean of its divisors is an integer number (187145140).

Almost surely, 2^14264678400 is an apocalyptic number.

14264678400 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 14264678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26948900160).

14264678400 is an abundant number, since it is smaller than the sum of its proper divisors (39633121920).

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

14264678400 is a wasteful number, since it uses less digits than its factorization.

14264678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13309 (or 13284 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 14264678400 in words is "fourteen billion, two hundred sixty-four million, six hundred seventy-eight thousand, four hundred".