1122769440 has 288 divisors, whose sum is σ = 4240310256. Its totient is φ = 268738560.

The previous prime is 1122769397. The next prime is 1122769447. The reversal of 1122769440 is 449672211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 676208016 + 446561424 = 26004^2 + 21132^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1122769440² = 2521222430795827200, which 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 = 1122769395 and 1122769404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122769447) 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, 691830 + ... + 693450.

Almost surely, 2^1122769440 is an apocalyptic number.

1122769440 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 1122769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120155128).

1122769440 is an abundant number, since it is smaller than the sum of its proper divisors (3117540816).

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

1122769440 is a wasteful number, since it uses less digits than its factorization.

1122769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1122769440 is about 33507.7519389171. The cubic root of 1122769440 is about 1039.3540861041.

The spelling of 1122769440 in words is "one billion, one hundred twenty-two million, seven hundred sixty-nine thousand, four hundred forty".