14951682240 has 448 divisors, whose sum is σ = 56340499968. Its totient is φ = 3317760000.

The previous prime is 14951682227. The next prime is 14951682259. The reversal of 14951682240 is 4228615941.

It is a junction number, because it is equal to n+sod(n) for n = 14951682192 and 14951682201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6641115 + ... + 6643365.

Almost surely, 2^14951682240 is an apocalyptic number.

14951682240 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 14951682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28170249984).

14951682240 is an abundant number, since it is smaller than the sum of its proper divisors (41388817728).

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

14951682240 is a wasteful number, since it uses less digits than its factorization.

14951682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 14951682240 in words is "fourteen billion, nine hundred fifty-one million, six hundred eighty-two thousand, two hundred forty".