14049071040 has 448 divisors, whose sum is σ = 47894077440. Its totient is φ = 3483648000.

The previous prime is 14049070999. The next prime is 14049071077. The reversal of 14049071040 is 4017094041.

14049071040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 14049070989 and 14049071007.

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 63 ways as a sum of consecutive naturals, for example, 128890506 + ... + 128890614.

Almost surely, 2^14049071040 is an apocalyptic number.

14049071040 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 14049071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23947038720).

14049071040 is an abundant number, since it is smaller than the sum of its proper divisors (33845006400).

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

14049071040 is a wasteful number, since it uses less digits than its factorization.

14049071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 14049071040 in words is "fourteen billion, forty-nine million, seventy-one thousand, forty".