34104441453000 has 256 divisors, whose sum is σ = 106672250730240. Its totient is φ = 9071771904000.

The previous prime is 34104441452999. The next prime is 34104441453083. The reversal of 34104441453000 is 35414440143.

It is a super-2 number, since 2×34104441453000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2845113007 + ... + 2845124993.

It is an arithmetic number, because the mean of its divisors is an integer number (416688479415).

Almost surely, 2^{34104441453000} is an apocalyptic number.

34104441453000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34104441453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53336125365120).

34104441453000 is an abundant number, since it is smaller than the sum of its proper divisors (72567809277240).

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

34104441453000 is a wasteful number, since it uses less digits than its factorization.

34104441453000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14305 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 34104441453000 its reverse (35414440143), we get a palindrome (34139855893143).

The spelling of 34104441453000 in words is "thirty-four trillion, one hundred four billion, four hundred forty-one million, four hundred fifty-three thousand".