14427631080 has 288 divisors, whose sum is σ = 49467061800. Its totient is φ = 3642541056.

The previous prime is 14427631037. The next prime is 14427631103. The reversal of 14427631080 is 8013672441.

14427631080 is a `hidden beast` number, since 14 + 4 + 2 + 7 + 631 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12592879524 + 1834751556 = 112218^2 + 42834^2 .

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

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, 36341442 + ... + 36341838.

Almost surely, 2^14427631080 is an apocalyptic number.

14427631080 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 14427631080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24733530900).

14427631080 is an abundant number, since it is smaller than the sum of its proper divisors (35039430720).

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

14427631080 is a wasteful number, since it uses less digits than its factorization.

14427631080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 495 counting only the distinct ones).

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

The spelling of 14427631080 in words is "fourteen billion, four hundred twenty-seven million, six hundred thirty-one thousand, eighty".