13832950040 has 128 divisors (see below), whose sum is σ = 38419920000. Its totient is φ = 4364955648.

The previous prime is 13832950013. The next prime is 13832950121. The reversal of 13832950040 is 4005923831.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1264916 + ... + 1275804.

It is an arithmetic number, because the mean of its divisors is an integer number (300155625).

Almost surely, 2^13832950040 is an apocalyptic number.

13832950040 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 13832950040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209960000).

13832950040 is an abundant number, since it is smaller than the sum of its proper divisors (24586969960).

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

13832950040 is a wasteful number, since it uses less digits than its factorization.

13832950040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 13832950040 in words is "thirteen billion, eight hundred thirty-two million, nine hundred fifty thousand, forty".