34022014000440 has 32 divisors (see below), whose sum is σ = 102066042001680. Its totient is φ = 9072537066752.

The previous prime is 34022014000423. The next prime is 34022014000453. The reversal of 34022014000440 is 4400041022043.

It is a happy number.

It is a super-2 number, since 2×34022014000440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34022014000440.

It is a congruent number.

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, 141758391549 + ... + 141758391788.

Almost surely, 2^{34022014000440} is an apocalyptic number.

34022014000440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34022014000440 is an abundant number, since it is smaller than the sum of its proper divisors (68044028001240).

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

34022014000440 is a wasteful number, since it uses less digits than its factorization.

34022014000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283516783351 (or 283516783347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34022014000440 its reverse (4400041022043), we get a palindrome (38422055022483).

The spelling of 34022014000440 in words is "thirty-four trillion, twenty-two billion, fourteen million, four hundred forty", and thus it is an aban number.