1334434221120 has 1344 divisors, whose sum is σ = 5876490940416. Its totient is φ = 248951439360.

The previous prime is 1334434221103. The next prime is 1334434221149. The reversal of 1334434221120 is 211224344331.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1334434221120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 462220317 + ... + 462223203.

Almost surely, 2^{1334434221120} is an apocalyptic number.

1334434221120 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 1334434221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938245470208).

1334434221120 is an abundant number, since it is smaller than the sum of its proper divisors (4542056719296).

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

1334434221120 is a wasteful number, since it uses less digits than its factorization.

1334434221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1334434221120 its reverse (211224344331), we get a palindrome (1545658565451).

The spelling of 1334434221120 in words is "one trillion, three hundred thirty-four billion, four hundred thirty-four million, two hundred twenty-one thousand, one hundred twenty".