14920591140 has 432 divisors, whose sum is σ = 58247188272. Its totient is φ = 3062126592.

The previous prime is 14920591129. The next prime is 14920591193. The reversal of 14920591140 is 4119502941.

It is a happy number.

14920591140 is a `hidden beast` number, since 1 + 4 + 9 + 20 + 591 + 1 + 40 = 666.

14920591140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 932325156 + 13988265984 = 30534^2 + 118272^2 .

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 = 14920591095 and 14920591104.

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 143 ways as a sum of consecutive naturals, for example, 4240662 + ... + 4244178.

Almost surely, 2^14920591140 is an apocalyptic number.

14920591140 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 14920591140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123594136).

14920591140 is an abundant number, since it is smaller than the sum of its proper divisors (43326597132).

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

14920591140 is a wasteful number, since it uses less digits than its factorization.

14920591140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 14920591140 in words is "fourteen billion, nine hundred twenty million, five hundred ninety-one thousand, one hundred forty".