34130201040 has 160 divisors (see below), whose sum is σ = 126602730240. Its totient is φ = 8401273344.

The previous prime is 34130201029. The next prime is 34130201059. The reversal of 34130201040 is 4010203143.

It is a super-3 number, since 3×34130201040³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579652 + ... + 635811.

It is an arithmetic number, because the mean of its divisors is an integer number (791267064).

Almost surely, 2^34130201040 is an apocalyptic number.

34130201040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130201040 is an abundant number, since it is smaller than the sum of its proper divisors (92472529200).

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

34130201040 is a wasteful number, since it uses less digits than its factorization.

34130201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215498 (or 1215486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34130201040 its reverse (4010203143), we get a palindrome (38140404183).

The spelling of 34130201040 in words is "thirty-four billion, one hundred thirty million, two hundred one thousand, forty".