1306965421440 has 1024 divisors, whose sum is σ = 5591349504000. Its totient is φ = 281853001728.

The previous prime is 1306965421387. The next prime is 1306965421451. The reversal of 1306965421440 is 441245696031.

1306965421440 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 96 + 542 + 14 + 4 + 0 = 666.

It is a super-2 number, since 2×1306965421440² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 636611454 + ... + 636613506.

It is an arithmetic number, because the mean of its divisors is an integer number (5460302250).

Almost surely, 2^{1306965421440} is an apocalyptic number.

1306965421440 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 1306965421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795674752000).

1306965421440 is an abundant number, since it is smaller than the sum of its proper divisors (4284384082560).

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

1306965421440 is a wasteful number, since it uses less digits than its factorization.

1306965421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2366 counting only the distinct ones).

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

The spelling of 1306965421440 in words is "one trillion, three hundred six billion, nine hundred sixty-five million, four hundred twenty-one thousand, four hundred forty".