14152035040 has 192 divisors, whose sum is σ = 39382640640. Its totient is φ = 4737853440.

The previous prime is 14152035013. The next prime is 14152035043. The reversal of 14152035040 is 4053025141.

It is a happy number.

14152035040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14152034996 and 14152035014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14152035043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13887651 + ... + 13888669.

It is an arithmetic number, because the mean of its divisors is an integer number (205117920).

Almost surely, 2^14152035040 is an apocalyptic number.

14152035040 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 14152035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691320320).

14152035040 is an abundant number, since it is smaller than the sum of its proper divisors (25230605600).

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

14152035040 is a wasteful number, since it uses less digits than its factorization.

14152035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 14152035040 in words is "fourteen billion, one hundred fifty-two million, thirty-five thousand, forty".