14213041920 has 1152 divisors, whose sum is σ = 64753920000. Its totient is φ = 2926264320.

The previous prime is 14213041891. The next prime is 14213041939. The reversal of 14213041920 is 2914031241.

It is a happy number.

14213041920 is a `hidden beast` number, since 14 + 213 + 0 + 419 + 20 = 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130394826 + ... + 130394934.

It is an arithmetic number, because the mean of its divisors is an integer number (56210000).

Almost surely, 2^14213041920 is an apocalyptic number.

14213041920 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 14213041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376960000).

14213041920 is an abundant number, since it is smaller than the sum of its proper divisors (50540878080).

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

14213041920 is a wasteful number, since it uses less digits than its factorization.

14213041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 14213041920 in words is "fourteen billion, two hundred thirteen million, forty-one thousand, nine hundred twenty".