14050736640 has 480 divisors, whose sum is σ = 53343884880. Its totient is φ = 3402104832.

The previous prime is 14050736587. The next prime is 14050736677. The reversal of 14050736640 is 4663705041.

It is a happy number.

14050736640 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 0 + 7 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10054473984 + 3996262656 = 100272^2 + 63216^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 14050736595 and 14050736604.

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, 11358102 + ... + 11359338.

Almost surely, 2^14050736640 is an apocalyptic number.

14050736640 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 14050736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671942440).

14050736640 is an abundant number, since it is smaller than the sum of its proper divisors (39293148240).

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

14050736640 is a wasteful number, since it uses less digits than its factorization.

14050736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 140507 and 36640, that added together give a 11-th power (177147 = 3¹¹).

The spelling of 14050736640 in words is "fourteen billion, fifty million, seven hundred thirty-six thousand, six hundred forty".