1065470311440 has 120 divisors (see below), whose sum is σ = 3580825330368. Its totient is φ = 283917308160.

The previous prime is 1065470311429. The next prime is 1065470311469. The reversal of 1065470311440 is 441130745601.

1065470311440 is a `hidden beast` number, since 10 + 6 + 5 + 470 + 31 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1065470311440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1065470311395 and 1065470311404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442975 + ... + 1525505.

Almost surely, 2^{1065470311440} is an apocalyptic number.

1065470311440 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 1065470311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790412665184).

1065470311440 is an abundant number, since it is smaller than the sum of its proper divisors (2515355018928).

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

1065470311440 is a wasteful number, since it uses less digits than its factorization.

1065470311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083917 (or 1083908 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1065470311440 in words is "one trillion, sixty-five billion, four hundred seventy million, three hundred eleven thousand, four hundred forty".