1334566136640 has 224 divisors, whose sum is σ = 4678147063296. Its totient is φ = 319633008640.

The previous prime is 1334566136569. The next prime is 1334566136671. The reversal of 1334566136640 is 466316654331.

It is a happy number.

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 1334566136640.

It is a congruent number.

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, 115159 + ... + 1637801.

It is an arithmetic number, because the mean of its divisors is an integer number (20884585104).

Almost surely, 2^{1334566136640} is an apocalyptic number.

1334566136640 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 1334566136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339073531648).

1334566136640 is an abundant number, since it is smaller than the sum of its proper divisors (3343580926656).

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

1334566136640 is a wasteful number, since it uses less digits than its factorization.

1334566136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522757 (or 1522747 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 1334566136640 in words is "one trillion, three hundred thirty-four billion, five hundred sixty-six million, one hundred thirty-six thousand, six hundred forty".