34404013410020 has 24 divisors (see below), whose sum is σ = 72248755198200. Its totient is φ = 13761543071232.

The previous prime is 34404013409939. The next prime is 34404013410073. The reversal of 34404013410020 is 2001431040443.

It can be written as a sum of positive squares in 4 ways, for example, as 2339608858084 + 32064404551936 = 1529578^2 + 5662544^2 .

It is a super-2 number, since 2×34404013410020² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771866 + ... + 8330894.

It is an arithmetic number, because the mean of its divisors is an integer number (3010364799925).

Almost surely, 2^{34404013410020} is an apocalyptic number.

It is an amenable number.

34404013410020 is an abundant number, since it is smaller than the sum of its proper divisors (37844741788180).

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

34404013410020 is a wasteful number, since it uses less digits than its factorization.

34404013410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786607 (or 7786605 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34404013410020 its reverse (2001431040443), we get a palindrome (36405444450463).

The spelling of 34404013410020 in words is "thirty-four trillion, four hundred four billion, thirteen million, four hundred ten thousand, twenty".