14216099040 has 1152 divisors, whose sum is σ = 62768369664. Its totient is φ = 2875392000.

The previous prime is 14216099021. The next prime is 14216099087. The reversal of 14216099040 is 4099061241.

It is a happy number.

14216099040 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 609 + 9 + 0 + 40 = 666.

14216099040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 14216098986 and 14216099004.

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 191 ways as a sum of consecutive naturals, for example, 108519775 + ... + 108519905.

It is an arithmetic number, because the mean of its divisors is an integer number (54486432).

Almost surely, 2^14216099040 is an apocalyptic number.

14216099040 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 14216099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31384184832).

14216099040 is an abundant number, since it is smaller than the sum of its proper divisors (48552270624).

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

14216099040 is a wasteful number, since it uses less digits than its factorization.

14216099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14216099040 in words is "fourteen billion, two hundred sixteen million, ninety-nine thousand, forty".