14013545040 has 240 divisors, whose sum is σ = 52997607936. Its totient is φ = 3287577600.

The previous prime is 14013545011. The next prime is 14013545059. The reversal of 14013545040 is 4054531041.

It is a happy number.

14013545040 is a `hidden beast` number, since 1 + 40 + 135 + 450 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 14013544995 and 14013545013.

It is a congruent number.

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, 216982 + ... + 274058.

Almost surely, 2^14013545040 is an apocalyptic number.

14013545040 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 14013545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26498803968).

14013545040 is an abundant number, since it is smaller than the sum of its proper divisors (38984062896).

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

14013545040 is a wasteful number, since it uses less digits than its factorization.

14013545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57138 (or 57129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14013545040 in words is "fourteen billion, thirteen million, five hundred forty-five thousand, forty".