14050417920 has 1152 divisors, whose sum is σ = 61316075520. Its totient is φ = 2654208000.

The previous prime is 14050417883. The next prime is 14050417921. The reversal of 14050417920 is 2971405041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14050417921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230334690 + ... + 230334750.

It is an arithmetic number, because the mean of its divisors is an integer number (53225760).

Almost surely, 2^14050417920 is an apocalyptic number.

14050417920 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 14050417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30658037760).

14050417920 is an abundant number, since it is smaller than the sum of its proper divisors (47265657600).

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

14050417920 is a wasteful number, since it uses less digits than its factorization.

14050417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 14050417920 in words is "fourteen billion, fifty million, four hundred seventeen thousand, nine hundred twenty".