34154041122 has 128 divisors (see below), whose sum is σ = 80780820480. Its totient is φ = 10679610240.

The previous prime is 34154041081. The next prime is 34154041139. The reversal of 34154041122 is 22114045143.

34154041122 is a `hidden beast` number, since 3 + 4 + 1 + 540 + 4 + 112 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8416518 + ... + 8420574.

It is an arithmetic number, because the mean of its divisors is an integer number (631100160).

Almost surely, 2^34154041122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34154041122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40390410240).

34154041122 is an abundant number, since it is smaller than the sum of its proper divisors (46626779358).

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

34154041122 is a wasteful number, since it uses less digits than its factorization.

34154041122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 34154041122 its reverse (22114045143), we get a palindrome (56268086265).

The spelling of 34154041122 in words is "thirty-four billion, one hundred fifty-four million, forty-one thousand, one hundred twenty-two".