14429076480 has 1408 divisors, whose sum is σ = 66908405760. Its totient is φ = 2866544640.

The previous prime is 14429076479. The next prime is 14429076503. The reversal of 14429076480 is 8467092441.

14429076480 is a `hidden beast` number, since 14 + 4 + 2 + 90 + 76 + 480 = 666.

It is a super-3 number, since 3×14429076480³ (a number of 31 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 389975022 + ... + 389975058.

Almost surely, 2^14429076480 is an apocalyptic number.

14429076480 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 14429076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454202880).

14429076480 is an abundant number, since it is smaller than the sum of its proper divisors (52479329280).

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

14429076480 is a wasteful number, since it uses less digits than its factorization.

14429076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14429076480 in words is "fourteen billion, four hundred twenty-nine million, seventy-six thousand, four hundred eighty".