14137763640 has 512 divisors, whose sum is σ = 58503997440. Its totient is φ = 2637619200.

The previous prime is 14137763593. The next prime is 14137763657. The reversal of 14137763640 is 4636773141.

14137763640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14137763592 and 14137763601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4442850 + ... + 4446030.

It is an arithmetic number, because the mean of its divisors is an integer number (114265620).

Almost surely, 2^14137763640 is an apocalyptic number.

14137763640 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 14137763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29251998720).

14137763640 is an abundant number, since it is smaller than the sum of its proper divisors (44366233800).

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

14137763640 is a wasteful number, since it uses less digits than its factorization.

14137763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

It can be divided in two parts, 14137 and 763640, that added together give a palindrome (777777).

The spelling of 14137763640 in words is "fourteen billion, one hundred thirty-seven million, seven hundred sixty-three thousand, six hundred forty".