1134228434000 has 160 divisors (see below), whose sum is σ = 2833224376320. Its totient is φ = 438716544000.

The previous prime is 1134228433967. The next prime is 1134228434029. The reversal of 1134228434000 is 4348224311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89211644 + ... + 89224356.

It is an arithmetic number, because the mean of its divisors is an integer number (17707652352).

Almost surely, 2^{1134228434000} is an apocalyptic number.

1134228434000 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 1134228434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416612188160).

1134228434000 is an abundant number, since it is smaller than the sum of its proper divisors (1698995942320).

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

1134228434000 is a wasteful number, since it uses less digits than its factorization.

1134228434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14206 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 1134228434000 in words is "one trillion, one hundred thirty-four billion, two hundred twenty-eight million, four hundred thirty-four thousand".