1334411322000 has 160 divisors (see below), whose sum is σ = 4310913619584. Its totient is φ = 355117504000.

The previous prime is 1334411321977. The next prime is 1334411322007. The reversal of 1334411322000 is 2231144331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1334411322007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2719522 + ... + 3172478.

Almost surely, 2^{1334411322000} is an apocalyptic number.

1334411322000 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 1334411322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155456809792).

1334411322000 is an abundant number, since it is smaller than the sum of its proper divisors (2976502297584).

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

1334411322000 is a wasteful number, since it uses less digits than its factorization.

1334411322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453474 (or 453458 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1334411322000 its reverse (2231144331), we get a palindrome (1336642466331).

The spelling of 1334411322000 in words is "one trillion, three hundred thirty-four billion, four hundred eleven million, three hundred twenty-two thousand".