1334634446640 has 160 divisors (see below), whose sum is σ = 4515348499200. Its totient is φ = 323414594560.

The previous prime is 1334634446627. The next prime is 1334634446687. The reversal of 1334634446640 is 466444364331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1334634446640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6388966 + ... + 6594554.

It is an arithmetic number, because the mean of its divisors is an integer number (28220928120).

Almost surely, 2^{1334634446640} is an apocalyptic number.

1334634446640 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 1334634446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257674249600).

1334634446640 is an abundant number, since it is smaller than the sum of its proper divisors (3180714052560).

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

1334634446640 is a wasteful number, since it uses less digits than its factorization.

1334634446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208075 (or 208069 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 48.

The spelling of 1334634446640 in words is "one trillion, three hundred thirty-four billion, six hundred thirty-four million, four hundred forty-six thousand, six hundred forty".