1320045938640 has 1600 divisors, whose sum is σ = 5665704371712. Its totient is φ = 280284364800.

The previous prime is 1320045938639. The next prime is 1320045938677. The reversal of 1320045938640 is 468395400231.

1320045938640 is a `hidden beast` number, since 13 + 2 + 0 + 0 + 4 + 593 + 8 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5136365392 + ... + 5136365648.

Almost surely, 2^{1320045938640} is an apocalyptic number.

1320045938640 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 1320045938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832852185856).

1320045938640 is an abundant number, since it is smaller than the sum of its proper divisors (4345658433072).

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

1320045938640 is a wasteful number, since it uses less digits than its factorization.

1320045938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1320045938640 in words is "one trillion, three hundred twenty billion, forty-five million, nine hundred thirty-eight thousand, six hundred forty".