14288132040 has 192 divisors, whose sum is σ = 53046576000. Its totient is φ = 3014608896.

The previous prime is 14288131999. The next prime is 14288132081. The reversal of 14288132040 is 4023188241.

It is an interprime number because it is at equal distance from previous prime (14288131999) and next prime (14288132081).

It is a junction number, because it is equal to n+sod(n) for n = 14288131992 and 14288132010.

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, 91636 + ... + 192284.

It is an arithmetic number, because the mean of its divisors is an integer number (276284250).

Almost surely, 2^14288132040 is an apocalyptic number.

14288132040 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 14288132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26523288000).

14288132040 is an abundant number, since it is smaller than the sum of its proper divisors (38758443960).

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

14288132040 is a wasteful number, since it uses less digits than its factorization.

14288132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100696 (or 100679 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 14288132040 in words is "fourteen billion, two hundred eighty-eight million, one hundred thirty-two thousand, forty".