1129645440 has 640 divisors, whose sum is σ = 5047384320. Its totient is φ = 233902080.

The previous prime is 1129645421. The next prime is 1129645441. The reversal of 1129645440 is 445469211.

1129645440 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 645 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1129645440² = 2552197640225587200, 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 = 1129645395 and 1129645404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129645441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991539 + ... + 3991821.

It is an arithmetic number, because the mean of its divisors is an integer number (7886538).

Almost surely, 2^1129645440 is an apocalyptic number.

1129645440 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 1129645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523692160).

1129645440 is an abundant number, since it is smaller than the sum of its proper divisors (3917738880).

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

1129645440 is a wasteful number, since it uses less digits than its factorization.

1129645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1129645440 is about 33610.1984522555. The cubic root of 1129645440 is about 1041.4714870434.

The spelling of 1129645440 in words is "one billion, one hundred twenty-nine million, six hundred forty-five thousand, four hundred forty".