1393630064640 has 1560 divisors, whose sum is σ = 5637582087984. Its totient is φ = 328944844800.

The previous prime is 1393630064609. The next prime is 1393630064699. The reversal of 1393630064640 is 464600363931.

1393630064640 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 630 + 0 + 6 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10638397375 + ... + 10638397505.

Almost surely, 2^{1393630064640} is an apocalyptic number.

1393630064640 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 1393630064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818791043992).

1393630064640 is an abundant number, since it is smaller than the sum of its proper divisors (4243952023344).

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

1393630064640 is a wasteful number, since it uses less digits than its factorization.

1393630064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 1393630064640 in words is "one trillion, three hundred ninety-three billion, six hundred thirty million, sixty-four thousand, six hundred forty".