14152112640 has 400 divisors, whose sum is σ = 51157038240. Its totient is φ = 3739115520.

The previous prime is 14152112617. The next prime is 14152112659. The reversal of 14152112640 is 4621125141.

14152112640 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 2 + 1 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28822795 + ... + 28823285.

Almost surely, 2^14152112640 is an apocalyptic number.

14152112640 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 14152112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25578519120).

14152112640 is an abundant number, since it is smaller than the sum of its proper divisors (37004925600).

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

14152112640 is an equidigital number, since it uses as much as digits as its factorization.

14152112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 14152112640 its reverse (4621125141), we get a palindrome (18773237781).

The spelling of 14152112640 in words is "fourteen billion, one hundred fifty-two million, one hundred twelve thousand, six hundred forty".