1079551440 has 240 divisors, whose sum is σ = 4083595776. Its totient is φ = 253209600.

The previous prime is 1079551433. The next prime is 1079551441. The reversal of 1079551440 is 441559701.

1079551440 is a `hidden beast` number, since 10 + 7 + 95 + 514 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1079551395 and 1079551404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079551441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243322 + ... + 247718.

Almost surely, 2^1079551440 is an apocalyptic number.

1079551440 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 1079551440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041797888).

1079551440 is an abundant number, since it is smaller than the sum of its proper divisors (3004044336).

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

1079551440 is a wasteful number, since it uses less digits than its factorization.

1079551440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1079551440 is about 32856.5281184729. The cubic root of 1079551440 is about 1025.8435063346.

The spelling of 1079551440 in words is "one billion, seventy-nine million, five hundred fifty-one thousand, four hundred forty".