1414204141400 has 96 divisors (see below), whose sum is σ = 3294596721600. Its totient is φ = 564552268800.

The previous prime is 1414204141331. The next prime is 1414204141411. The reversal of 1414204141400 is 41414024141.

It is a super-2 number, since 2×1414204141400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1414204141400.

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, 239570849 + ... + 239576751.

It is an arithmetic number, because the mean of its divisors is an integer number (34318715850).

Almost surely, 2^{1414204141400} is an apocalyptic number.

1414204141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414204141400 is an abundant number, since it is smaller than the sum of its proper divisors (1880392580200).

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

1414204141400 is a wasteful number, since it uses less digits than its factorization.

1414204141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 1414204141400 its reverse (41414024141), we get a palindrome (1455618165541).

The spelling of 1414204141400 in words is "one trillion, four hundred fourteen billion, two hundred four million, one hundred forty-one thousand, four hundred".