14936182240 has 96 divisors (see below), whose sum is σ = 40351094784. Its totient is φ = 5118005760.

The previous prime is 14936182211. The next prime is 14936182259. The reversal of 14936182240 is 4228163941.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14936182193 and 14936182202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2899347 + ... + 2904493.

It is an arithmetic number, because the mean of its divisors is an integer number (420323904).

Almost surely, 2^14936182240 is an apocalyptic number.

14936182240 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 14936182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175547392).

14936182240 is an abundant number, since it is smaller than the sum of its proper divisors (25414912544).

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

14936182240 is a wasteful number, since it uses less digits than its factorization.

14936182240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 14936182240 in words is "fourteen billion, nine hundred thirty-six million, one hundred eighty-two thousand, two hundred forty".