1414133400 has 96 divisors (see below), whose sum is σ = 4424984640. Its totient is φ = 373560960.

The previous prime is 1414133393. The next prime is 1414133429. The reversal of 1414133400 is 43314141.

It is a super-3 number, since 3×1414133400³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53187 + ... + 75213.

It is an arithmetic number, because the mean of its divisors is an integer number (46093590).

Almost surely, 2^1414133400 is an apocalyptic number.

1414133400 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 1414133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212492320).

1414133400 is an abundant number, since it is smaller than the sum of its proper divisors (3010851240).

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

1414133400 is a wasteful number, since it uses less digits than its factorization.

1414133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22153 (or 22144 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1414133400 is about 37604.9650977102. The cubic root of 1414133400 is about 1122.4408396027.

Adding to 1414133400 its reverse (43314141), we get a palindrome (1457447541).

The spelling of 1414133400 in words is "one billion, four hundred fourteen million, one hundred thirty-three thousand, four hundred".