1334147401320 has 256 divisors, whose sum is σ = 4318737696000. Its totient is φ = 328607539200.

The previous prime is 1334147401313. The next prime is 1334147401343. The reversal of 1334147401320 is 231047414331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173962446 + ... + 173970114.

It is an arithmetic number, because the mean of its divisors is an integer number (16870069125).

Almost surely, 2^{1334147401320} is an apocalyptic number.

1334147401320 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 1334147401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159368848000).

1334147401320 is an abundant number, since it is smaller than the sum of its proper divisors (2984590294680).

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

1334147401320 is a wasteful number, since it uses less digits than its factorization.

1334147401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9604 (or 9600 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 1334147401320 in words is "one trillion, three hundred thirty-four billion, one hundred forty-seven million, four hundred one thousand, three hundred twenty".