1134415040 has 112 divisors (see below), whose sum is σ = 3048792480. Its totient is φ = 398254080.

The previous prime is 1134415031. The next prime is 1134415043. The reversal of 1134415040 is 405144311.

It is a junction number, because it is equal to n+sod(n) for n = 1134414997 and 1134415015.

It is not an unprimeable number, because it can be changed into a prime (1134415043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96524 + ... + 107636.

Almost surely, 2^1134415040 is an apocalyptic number.

1134415040 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 1134415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524396240).

1134415040 is an abundant number, since it is smaller than the sum of its proper divisors (1914377440).

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

1134415040 is a wasteful number, since it uses less digits than its factorization.

1134415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11170 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1134415040 is about 33681.0783675345. The cubic root of 1134415040 is about 1042.9351992973.

Adding to 1134415040 its reverse (405144311), we get a palindrome (1539559351).

The spelling of 1134415040 in words is "one billion, one hundred thirty-four million, four hundred fifteen thousand, forty".