1129363040 has 288 divisors, whose sum is σ = 3282521760. Its totient is φ = 362741760.

The previous prime is 1129363013. The next prime is 1129363069. The reversal of 1129363040 is 403639211.

It is a super-2 number, since 2×1129363040² = 2550921752236083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1129362994 and 1129363012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27545420 + ... + 27545460.

It is an arithmetic number, because the mean of its divisors is an integer number (11397645).

Almost surely, 2^1129363040 is an apocalyptic number.

1129363040 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 1129363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641260880).

1129363040 is an abundant number, since it is smaller than the sum of its proper divisors (2153158720).

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

1129363040 is a wasteful number, since it uses less digits than its factorization.

1129363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1129363040 is about 33605.9970838539. The cubic root of 1129363040 is about 1041.3846940111.

The spelling of 1129363040 in words is "one billion, one hundred twenty-nine million, three hundred sixty-three thousand, forty".