1135415424 has 512 divisors, whose sum is σ = 3948134400. Its totient is φ = 283852800.

The previous prime is 1135415423. The next prime is 1135415429. The reversal of 1135415424 is 4245145311.

It is a junction number, because it is equal to n+sod(n) for n = 1135415391 and 1135415400.

It is not an unprimeable number, because it can be changed into a prime (1135415423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36626289 + ... + 36626319.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^1135415424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974067200).

1135415424 is an abundant number, since it is smaller than the sum of its proper divisors (2812718976).

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

1135415424 is a wasteful number, since it uses less digits than its factorization.

1135415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 1135415424 is about 33695.9259258445. The cubic root of 1135415424 is about 1043.2416800565.

The spelling of 1135415424 in words is "one billion, one hundred thirty-five million, four hundred fifteen thousand, four hundred twenty-four".