14400867312 has 320 divisors, whose sum is σ = 45739294720. Its totient is φ = 4311014400.

The previous prime is 14400867311. The next prime is 14400867319. The reversal of 14400867312 is 21376800441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400867311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43506987 + ... + 43507317.

It is an arithmetic number, because the mean of its divisors is an integer number (142935296).

Almost surely, 2^14400867312 is an apocalyptic number.

14400867312 is a gapful number since it is divisible by the number (12) 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 14400867312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869647360).

14400867312 is an abundant number, since it is smaller than the sum of its proper divisors (31338427408).

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

14400867312 is a wasteful number, since it uses less digits than its factorization.

14400867312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14400867312 in words is "fourteen billion, four hundred million, eight hundred sixty-seven thousand, three hundred twelve".