14042634880 has 64 divisors (see below), whose sum is σ = 33587716680. Its totient is φ = 5614202880.

The previous prime is 14042634877. The next prime is 14042634923. The reversal of 14042634880 is 8843624041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5641812544 + 8400822336 = 75112^2 + 91656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14042634880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1632190 + ... + 1640770.

Almost surely, 2^14042634880 is an apocalyptic number.

14042634880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042634880 is an abundant number, since it is smaller than the sum of its proper divisors (19545081800).

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

14042634880 is an equidigital number, since it uses as much as digits as its factorization.

14042634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 14042634880 in words is "fourteen billion, forty-two million, six hundred thirty-four thousand, eight hundred eighty".