1414103020000 has 480 divisors, whose sum is σ = 4000832123904. Its totient is φ = 486816000000.

The previous prime is 1414103019997. The next prime is 1414103020027. The reversal of 1414103020000 is 203014141.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 511058617 + ... + 511061383.

Almost surely, 2^{1414103020000} is an apocalyptic number.

1414103020000 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 1414103020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000416061952).

1414103020000 is an abundant number, since it is smaller than the sum of its proper divisors (2586729103904).

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

1414103020000 is a wasteful number, since it uses less digits than its factorization.

1414103020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1414103020000 its reverse (203014141), we get a palindrome (1414306034141).

The spelling of 1414103020000 in words is "one trillion, four hundred fourteen billion, one hundred three million, twenty thousand".