14142275400 has 384 divisors, whose sum is σ = 49054896000. Its totient is φ = 3341721600.

The previous prime is 14142275393. The next prime is 14142275417. The reversal of 14142275400 is 457224141.

It is a super-3 number, since 3×14142275400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71788102 + ... + 71788298.

It is an arithmetic number, because the mean of its divisors is an integer number (127747125).

Almost surely, 2^14142275400 is an apocalyptic number.

14142275400 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 14142275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24527448000).

14142275400 is an abundant number, since it is smaller than the sum of its proper divisors (34912620600).

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

14142275400 is a wasteful number, since it uses less digits than its factorization.

14142275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 14142275400 its reverse (457224141), we get a palindrome (14599499541).

The spelling of 14142275400 in words is "fourteen billion, one hundred forty-two million, two hundred seventy-five thousand, four hundred".