1075969440 has 1152 divisors, whose sum is σ = 5212408320. Its totient is φ = 204374016.

The previous prime is 1075969439. The next prime is 1075969441. The reversal of 1075969440 is 449695701.

1075969440 is a `hidden beast` number, since 10 + 7 + 596 + 9 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1075969439) and next prime (1075969441).

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

It is not an unprimeable number, because it can be changed into a prime (1075969441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46781269 + ... + 46781291.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^1075969440 is an apocalyptic number.

1075969440 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 1075969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

1075969440 is an abundant number, since it is smaller than the sum of its proper divisors (4136438880).

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

1075969440 is a wasteful number, since it uses less digits than its factorization.

1075969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1075969440 is about 32801.9731113846. The cubic root of 1075969440 is about 1024.7076509097.

The spelling of 1075969440 in words is "one billion, seventy-five million, nine hundred sixty-nine thousand, four hundred forty".