41434013034000 has 120 divisors (see below), whose sum is σ = 144715196252952. Its totient is φ = 11049070137600.

The previous prime is 41434013033989. The next prime is 41434013034067. The reversal of 41434013034000 is 43031043414.

41434013034000 is a `hidden beast` number, since 4 + 14 + 340 + 1 + 303 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13341808190736 + 28092204843264 = 3652644^2 + 5300208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×41434013034000² (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 23 ways as a sum of consecutive naturals, for example, 1150926807 + ... + 1150962806.

Almost surely, 2^{41434013034000} is an apocalyptic number.

41434013034000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41434013034000 is an abundant number, since it is smaller than the sum of its proper divisors (103281183218952).

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

41434013034000 is a wasteful number, since it uses less digits than its factorization.

41434013034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301889642 (or 2301889623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41434013034000 its reverse (43031043414), we get a palindrome (41477044077414).

The spelling of 41434013034000 in words is "forty-one trillion, four hundred thirty-four billion, thirteen million, thirty-four thousand".