34414133310020 has 48 divisors (see below), whose sum is σ = 72354923561088. Its totient is φ = 13749418076160.

The previous prime is 34414133309987. The next prime is 34414133310023. The reversal of 34414133310020 is 2001333141443.

It is a happy number.

It is a super-3 number, since 3×34414133310020³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34414133310023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457530215 + ... + 457605425.

It is an arithmetic number, because the mean of its divisors is an integer number (1507394240856).

Almost surely, 2^{34414133310020} is an apocalyptic number.

It is an amenable number.

34414133310020 is an abundant number, since it is smaller than the sum of its proper divisors (37940790251068).

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

34414133310020 is a wasteful number, since it uses less digits than its factorization.

34414133310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101900 (or 101898 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 34414133310020 its reverse (2001333141443), we get a palindrome (36415466451463).

The spelling of 34414133310020 in words is "thirty-four trillion, four hundred fourteen billion, one hundred thirty-three million, three hundred ten thousand, twenty".