1414105400 has 96 divisors (see below), whose sum is σ = 3480246000. Its totient is φ = 532869120.

The previous prime is 1414105387. The next prime is 1414105447. The reversal of 1414105400 is 45014141.

It is a super-3 number, since 3×1414105400³ (a number of 28 digits) contains 333 as substring.

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

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, 747656 + ... + 749544.

Almost surely, 2^1414105400 is an apocalyptic number.

1414105400 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 1414105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740123000).

1414105400 is an abundant number, since it is smaller than the sum of its proper divisors (2066140600).

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

1414105400 is a wasteful number, since it uses less digits than its factorization.

1414105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1414105400 is about 37604.5928046030. The cubic root of 1414105400 is about 1122.4334314023.

Adding to 1414105400 its reverse (45014141), we get a palindrome (1459119541).

The spelling of 1414105400 in words is "one billion, four hundred fourteen million, one hundred five thousand, four hundred".