14071639680 has 384 divisors, whose sum is σ = 57977208000. Its totient is φ = 3216181248.

The previous prime is 14071639667. The next prime is 14071639693. The reversal of 14071639680 is 8693617041.

It is a happy number.

14071639680 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 1 + 639 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14071639667) and next prime (14071639693).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14071639680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838411 + ... + 855029.

Almost surely, 2^14071639680 is an apocalyptic number.

14071639680 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 14071639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28988604000).

14071639680 is an abundant number, since it is smaller than the sum of its proper divisors (43905568320).

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

14071639680 is a wasteful number, since it uses less digits than its factorization.

14071639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16661 (or 16636 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14071639680 in words is "fourteen billion, seventy-one million, six hundred thirty-nine thousand, six hundred eighty".