1334010345000 has 160 divisors (see below), whose sum is σ = 4171803345600. Its totient is φ = 355364352000.

The previous prime is 1334010344987. The next prime is 1334010345011. The reversal of 1334010345000 is 5430104331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14459016 + ... + 14550984.

It is an arithmetic number, because the mean of its divisors is an integer number (26073770910).

Almost surely, 2^{1334010345000} is an apocalyptic number.

1334010345000 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 1334010345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085901672800).

1334010345000 is an abundant number, since it is smaller than the sum of its proper divisors (2837793000600).

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

1334010345000 is an equidigital number, since it uses as much as digits as its factorization.

1334010345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92965 (or 92946 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 1334010345000 its reverse (5430104331), we get a palindrome (1339440449331).

The spelling of 1334010345000 in words is "one trillion, three hundred thirty-four billion, ten million, three hundred forty-five thousand".