1414141400 has 192 divisors, whose sum is σ = 3874841280. Its totient is φ = 470016000.

The previous prime is 1414141397. The next prime is 1414141403. The reversal of 1414141400 is 41414141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1414141397) and next prime (1414141403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414141403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10322132 + ... + 10322268.

It is an arithmetic number, because the mean of its divisors is an integer number (20181465).

Almost surely, 2^1414141400 is an apocalyptic number.

1414141400 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 1414141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937420640).

1414141400 is an abundant number, since it is smaller than the sum of its proper divisors (2460699880).

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

1414141400 is a wasteful number, since it uses less digits than its factorization.

1414141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1414141400 is about 37605.0714664924. The cubic root of 1414141400 is about 1122.4429562135.

Adding to 1414141400 its reverse (41414141), we get a palindrome (1455555541).

It can be divided in two parts, 1414 and 141400, that multiplied together give a square (199939600 = 14140²).

The spelling of 1414141400 in words is "one billion, four hundred fourteen million, one hundred forty-one thousand, four hundred".