14120749440 has 1152 divisors, whose sum is σ = 62853991200. Its totient is φ = 3009871872.

The previous prime is 14120749373. The next prime is 14120749453. The reversal of 14120749440 is 4494702141.

14120749440 is a `hidden beast` number, since 1 + 4 + 1 + 207 + 4 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14120749395 and 14120749404.

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 143 ways as a sum of consecutive naturals, for example, 129548106 + ... + 129548214.

Almost surely, 2^14120749440 is an apocalyptic number.

14120749440 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 14120749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426995600).

14120749440 is an abundant number, since it is smaller than the sum of its proper divisors (48733241760).

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

14120749440 is a wasteful number, since it uses less digits than its factorization.

14120749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14120749440 in words is "fourteen billion, one hundred twenty million, seven hundred forty-nine thousand, four hundred forty".