1069216727040 has 2048 divisors, whose sum is σ = 4916320358400. Its totient is φ = 214035333120.

The previous prime is 1069216727021. The next prime is 1069216727093. The reversal of 1069216727040 is 407276129601.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×1069216727040² (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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14646804444 + ... + 14646804516.

It is an arithmetic number, because the mean of its divisors is an integer number (2400547050).

Almost surely, 2^{1069216727040} is an apocalyptic number.

1069216727040 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 1069216727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458160179200).

1069216727040 is an abundant number, since it is smaller than the sum of its proper divisors (3847103631360).

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

1069216727040 is an equidigital number, since it uses as much as digits as its factorization.

1069216727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1069216727040 in words is "one trillion, sixty-nine billion, two hundred sixteen million, seven hundred twenty-seven thousand, forty".