14949642240 has 624 divisors, whose sum is σ = 59248844928. Its totient is φ = 3454009344.

The previous prime is 14949642173. The next prime is 14949642269. The reversal of 14949642240 is 4224694941.

14949642240 is a `hidden beast` number, since 14 + 94 + 96 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40734537 + ... + 40734903.

It is an arithmetic number, because the mean of its divisors is an integer number (94950072).

Almost surely, 2^14949642240 is an apocalyptic number.

14949642240 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 14949642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29624422464).

14949642240 is an abundant number, since it is smaller than the sum of its proper divisors (44299202688).

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

14949642240 is a wasteful number, since it uses less digits than its factorization.

14949642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14949642240 in words is "fourteen billion, nine hundred forty-nine million, six hundred forty-two thousand, two hundred forty".