1134305432040 has 256 divisors, whose sum is σ = 3895095859200. Its totient is φ = 261572889600.

The previous prime is 1134305432033. The next prime is 1134305432069. The reversal of 1134305432040 is 402345034311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1134305431989 and 1134305432007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5391951 + ... + 5598369.

It is an arithmetic number, because the mean of its divisors is an integer number (15215218200).

Almost surely, 2^{1134305432040} is an apocalyptic number.

1134305432040 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 1134305432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947547929600).

1134305432040 is an abundant number, since it is smaller than the sum of its proper divisors (2760790427160).

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

1134305432040 is a wasteful number, since it uses less digits than its factorization.

1134305432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206648 (or 206644 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 1134305432040 in words is "one trillion, one hundred thirty-four billion, three hundred five million, four hundred thirty-two thousand, forty".