34131211020414 has 64 divisors (see below), whose sum is σ = 77614300051200. Its totient is φ = 11112018021216.

The previous prime is 34131211020349. The next prime is 34131211020463. The reversal of 34131211020414 is 41402011213143.

It is a happy number.

34131211020414 is a `hidden beast` number, since 3 + 4 + 1 + 31 + 211 + 0 + 2 + 0 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 56960152 + ... + 57556244.

It is an arithmetic number, because the mean of its divisors is an integer number (1212723438300).

Almost surely, 2^{34131211020414} is an apocalyptic number.

34131211020414 is an abundant number, since it is smaller than the sum of its proper divisors (43483089030786).

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

34131211020414 is a wasteful number, since it uses less digits than its factorization.

34131211020414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620806 (or 620800 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34131211020414 its reverse (41402011213143), we get a palindrome (75533222233557).

The spelling of 34131211020414 in words is "thirty-four trillion, one hundred thirty-one billion, two hundred eleven million, twenty thousand, four hundred fourteen".