16429140 has 288 divisors, whose sum is σ = 66044160. Its totient is φ = 3207168.

The previous prime is 16429117. The next prime is 16429141. The reversal of 16429140 is 4192461.

16429140 is a `hidden beast` number, since 1 + 642 + 9 + 14 + 0 = 666.

16429140 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16429140² = 539833282279200, which contains 22 as substring.

16429140 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16429141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278431 + ... + 278489.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^16429140 is an apocalyptic number.

16429140 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 16429140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

16429140 is an abundant number, since it is smaller than the sum of its proper divisors (49615020).

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

16429140 is a wasteful number, since it uses less digits than its factorization.

16429140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

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

The square root of 16429140 is about 4053.2875545660. The cubic root of 16429140 is about 254.2172073044.

The spelling of 16429140 in words is "sixteen million, four hundred twenty-nine thousand, one hundred forty".