14040513514624 has 64 divisors (see below), whose sum is σ = 28329625044000. Its totient is φ = 6930578552832.

The previous prime is 14040513514609. The next prime is 14040513514631. The reversal of 14040513514624 is 42641531504041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14040513514624² (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 6366667 + ... + 8283445.

Almost surely, 2^{14040513514624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040513514624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164812522000).

14040513514624 is an abundant number, since it is smaller than the sum of its proper divisors (14289111529376).

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

14040513514624 is an equidigital number, since it uses as much as digits as its factorization.

14040513514624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917525 (or 1917513 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 14040513514624 in words is "fourteen trillion, forty billion, five hundred thirteen million, five hundred fourteen thousand, six hundred twenty-four".