1414213013400 has 384 divisors, whose sum is σ = 4827296390400. Its totient is φ = 339649689600.

The previous prime is 1414213013377. The next prime is 1414213013461. The reversal of 1414213013400 is 43103124141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 386500771 + ... + 386504429.

It is an arithmetic number, because the mean of its divisors is an integer number (12571084350).

Almost surely, 2^{1414213013400} is an apocalyptic number.

1414213013400 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 1414213013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413648195200).

1414213013400 is an abundant number, since it is smaller than the sum of its proper divisors (3413083377000).

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

1414213013400 is a wasteful number, since it uses less digits than its factorization.

1414213013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1414213013400 its reverse (43103124141), we get a palindrome (1457316137541).

The spelling of 1414213013400 in words is "one trillion, four hundred fourteen billion, two hundred thirteen million, thirteen thousand, four hundred".