34040042201412 has 96 divisors (see below), whose sum is σ = 99172772616960. Its totient is φ = 10018473949440.

The previous prime is 34040042201393. The next prime is 34040042201413. The reversal of 34040042201412 is 21410224004043.

34040042201412 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 0 + 42 + 201 + 412 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34040042201413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527033889 + ... + 527098472.

It is an arithmetic number, because the mean of its divisors is an integer number (1033049714760).

Almost surely, 2^{34040042201412} is an apocalyptic number.

It is an amenable number.

34040042201412 is an abundant number, since it is smaller than the sum of its proper divisors (65132730415548).

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

34040042201412 is a wasteful number, since it uses less digits than its factorization.

34040042201412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054132410 (or 1054132402 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34040042201412 its reverse (21410224004043), we get a palindrome (55450266205455).

The spelling of 34040042201412 in words is "thirty-four trillion, forty billion, forty-two million, two hundred one thousand, four hundred twelve".