34022012444001 has 32 divisors (see below), whose sum is σ = 51637060809600. Its totient is φ = 22126107432960.

The previous prime is 34022012443973. The next prime is 34022012444009. The reversal of 34022012444001 is 10044421022043.

34022012444001 is a `hidden beast` number, since 34 + 0 + 2 + 201 + 24 + 4 + 400 + 1 = 666.

It is not a de Polignac number, because 34022012444001 - 2²³ = 34022004055393 is a prime.

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 (34022012444009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10704705 + ... + 13514241.

It is an arithmetic number, because the mean of its divisors is an integer number (1613658150300).

Almost surely, 2^{34022012444001} is an apocalyptic number.

It is an amenable number.

34022012444001 is a deficient number, since it is larger than the sum of its proper divisors (17615048365599).

34022012444001 is a wasteful number, since it uses less digits than its factorization.

34022012444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820526 (or 2820520 counting only the distinct ones).

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

Adding to 34022012444001 its reverse (10044421022043), we get a palindrome (44066433466044).

The spelling of 34022012444001 in words is "thirty-four trillion, twenty-two billion, twelve million, four hundred forty-four thousand, one".