1234335134010 has 192 divisors, whose sum is σ = 3322020885120. Its totient is φ = 293243596800.

The previous prime is 1234335133961. The next prime is 1234335134033. The reversal of 1234335134010 is 104315334321.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36490005 + ... + 36523815.

It is an arithmetic number, because the mean of its divisors is an integer number (17302192110).

Almost surely, 2^{1234335134010} is an apocalyptic number.

1234335134010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234335134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661010442560).

1234335134010 is an abundant number, since it is smaller than the sum of its proper divisors (2087685751110).

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

1234335134010 is a wasteful number, since it uses less digits than its factorization.

1234335134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34045 (or 34034 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 1234335134010 in words is "one trillion, two hundred thirty-four billion, three hundred thirty-five million, one hundred thirty-four thousand, ten".