1014233414000 has 160 divisors (see below), whose sum is σ = 2670510772800. Its totient is φ = 371087539200.

The previous prime is 1014233413961. The next prime is 1014233414023. The reversal of 1014233414000 is 4143324101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641822 + ... + 1562178.

It is an arithmetic number, because the mean of its divisors is an integer number (16690692330).

Almost surely, 2^{1014233414000} is an apocalyptic number.

1014233414000 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 1014233414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335255386400).

1014233414000 is an abundant number, since it is smaller than the sum of its proper divisors (1656277358800).

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

1014233414000 is a wasteful number, since it uses less digits than its factorization.

1014233414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920428 (or 920412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1014233414000 its reverse (4143324101), we get a palindrome (1018376738101).

The spelling of 1014233414000 in words is "one trillion, fourteen billion, two hundred thirty-three million, four hundred fourteen thousand".