34040141400 has 192 divisors, whose sum is σ = 106732454400. Its totient is φ = 8974080000.

The previous prime is 34040141393. The next prime is 34040141477. The reversal of 34040141400 is 414104043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21833821 + ... + 21835379.

It is an arithmetic number, because the mean of its divisors is an integer number (555898200).

Almost surely, 2^34040141400 is an apocalyptic number.

34040141400 is a gapful number since it is divisible by the number (30) 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 34040141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53366227200).

34040141400 is an abundant number, since it is smaller than the sum of its proper divisors (72692313000).

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

34040141400 is a wasteful number, since it uses less digits than its factorization.

34040141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34040141400 its reverse (414104043), we get a palindrome (34454245443).

The spelling of 34040141400 in words is "thirty-four billion, forty million, one hundred forty-one thousand, four hundred".