14632629440 has 224 divisors, whose sum is σ = 42718427136. Its totient is φ = 4697763840.

The previous prime is 14632629433. The next prime is 14632629443. The reversal of 14632629440 is 4492623641.

It is a happy number.

It is a super-2 number, since 2×14632629440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14632629443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045529 + ... + 1059431.

It is an arithmetic number, because the mean of its divisors is an integer number (190707264).

Almost surely, 2^14632629440 is an apocalyptic number.

14632629440 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 14632629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359213568).

14632629440 is an abundant number, since it is smaller than the sum of its proper divisors (28085797696).

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

14632629440 is a wasteful number, since it uses less digits than its factorization.

14632629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13967 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 14632629440 in words is "fourteen billion, six hundred thirty-two million, six hundred twenty-nine thousand, four hundred forty".