1014334100000 has 144 divisors (see below), whose sum is σ = 2688060593736. Its totient is φ = 374522880000.

The previous prime is 1014334099957. The next prime is 1014334100027. The reversal of 1014334100000 is 14334101.

It can be written as a sum of positive squares in 12 ways, for example, as 344902496656 + 669431603344 = 587284^2 + 818188^2 .

It is a super-3 number, since 3×1014334100000³ (a number of 37 digits) contains 333 as substring.

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, 909872 + ... + 1690128.

Almost surely, 2^{1014334100000} is an apocalyptic number.

1014334100000 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 1014334100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344030296868).

1014334100000 is an abundant number, since it is smaller than the sum of its proper divisors (1673726493736).

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

1014334100000 is an frugal number, since it uses more digits than its factorization.

1014334100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780305 (or 780277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1014334100000 its reverse (14334101), we get a palindrome (1014348434101).

The spelling of 1014334100000 in words is "one trillion, fourteen billion, three hundred thirty-four million, one hundred thousand".