34100014214000 has 160 divisors (see below), whose sum is σ = 94254344276352. Its totient is φ = 11688779520000.

The previous prime is 34100014213961. The next prime is 34100014214029. The reversal of 34100014214000 is 41241000143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61899770 + ... + 62448230.

Almost surely, 2^{34100014214000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100014214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47127172138176).

34100014214000 is an abundant number, since it is smaller than the sum of its proper divisors (60154330062352).

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

34100014214000 is a wasteful number, since it uses less digits than its factorization.

34100014214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552932 (or 552916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34100014214000 its reverse (41241000143), we get a palindrome (34141255214143).

The spelling of 34100014214000 in words is "thirty-four trillion, one hundred billion, fourteen million, two hundred fourteen thousand".