14938428240 has 400 divisors, whose sum is σ = 54679857408. Its totient is φ = 3772403712.

The previous prime is 14938428233. The next prime is 14938428257. The reversal of 14938428240 is 4282483941.

14938428240 is a `hidden beast` number, since 1 + 4 + 9 + 384 + 28 + 240 = 666.

14938428240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16841077 + ... + 16841963.

Almost surely, 2^14938428240 is an apocalyptic number.

14938428240 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 14938428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27339928704).

14938428240 is an abundant number, since it is smaller than the sum of its proper divisors (39741429168).

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

14938428240 is a wasteful number, since it uses less digits than its factorization.

14938428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14938428240 in words is "fourteen billion, nine hundred thirty-eight million, four hundred twenty-eight thousand, two hundred forty".