14429701440 has 672 divisors, whose sum is σ = 63905587200. Its totient is φ = 2900275200.

The previous prime is 14429701427. The next prime is 14429701441. The reversal of 14429701440 is 4410792441.

14429701440 is a `hidden beast` number, since 1 + 442 + 9 + 70 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 14429701395 and 14429701404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14429701441) 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, 6873511 + ... + 6875609.

It is an arithmetic number, because the mean of its divisors is an integer number (95097600).

Almost surely, 2^14429701440 is an apocalyptic number.

14429701440 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 14429701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31952793600).

14429701440 is an abundant number, since it is smaller than the sum of its proper divisors (49475885760).

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

14429701440 is a wasteful number, since it uses less digits than its factorization.

14429701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

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

The spelling of 14429701440 in words is "fourteen billion, four hundred twenty-nine million, seven hundred one thousand, four hundred forty".