16142400 has 252 divisors, whose sum is σ = 61417200. Its totient is φ = 4008960.

The previous prime is 16142393. The next prime is 16142407. The reversal of 16142400 is 424161.

It is an interprime number because it is at equal distance from previous prime (16142393) and next prime (16142407).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (16142407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273571 + ... + 273629.

Almost surely, 2^16142400 is an apocalyptic number.

16142400 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 16142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30708600).

16142400 is an abundant number, since it is smaller than the sum of its proper divisors (45274800).

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

16142400 is a wasteful number, since it uses less digits than its factorization.

16142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16142400 is about 4017.7605702680. The cubic root of 16142400 is about 252.7295562951.

Adding to 16142400 its reverse (424161), we get a palindrome (16566561).

The spelling of 16142400 in words is "sixteen million, one hundred forty-two thousand, four hundred".