41214100106000 has 40 divisors (see below), whose sum is σ = 99655694061144. Its totient is φ = 16485640041600.

The previous prime is 41214100105943. The next prime is 41214100106077. The reversal of 41214100106000 is 60100141214.

It can be written as a sum of positive squares in 4 ways, for example, as 1040408160016 + 40173691945984 = 1020004^2 + 6338272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×41214100106000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10303523027 + ... + 10303527026.

Almost surely, 2^{41214100106000} is an apocalyptic number.

41214100106000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41214100106000 is an abundant number, since it is smaller than the sum of its proper divisors (58441593955144).

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

41214100106000 is a wasteful number, since it uses less digits than its factorization.

41214100106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607050076 (or 20607050060 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 41214100106000 its reverse (60100141214), we get a palindrome (41274200247214).

The spelling of 41214100106000 in words is "forty-one trillion, two hundred fourteen billion, one hundred million, one hundred six thousand".