1134381440 has 128 divisors (see below), whose sum is σ = 2942593920. Its totient is φ = 416481280.

The previous prime is 1134381407. The next prime is 1134381467. The reversal of 1134381440 is 441834311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444809 + ... + 447351.

It is an arithmetic number, because the mean of its divisors is an integer number (22989015).

Almost surely, 2^1134381440 is an apocalyptic number.

1134381440 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 1134381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471296960).

1134381440 is an abundant number, since it is smaller than the sum of its proper divisors (1808212480).

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

1134381440 is a wasteful number, since it uses less digits than its factorization.

1134381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1134381440 is about 33680.5795674599. The cubic root of 1134381440 is about 1042.9249023697.

The spelling of 1134381440 in words is "one billion, one hundred thirty-four million, three hundred eighty-one thousand, four hundred forty".