34441001100000 has 864 divisors, whose sum is σ = 134438435389440. Its totient is φ = 8293680000000.

The previous prime is 34441001099969. The next prime is 34441001100029. The reversal of 34441001100000 is 110014443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1494888481 + ... + 1494911519.

It is an arithmetic number, because the mean of its divisors is an integer number (155600040960).

Almost surely, 2^{34441001100000} is an apocalyptic number.

34441001100000 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 34441001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67219217694720).

34441001100000 is an abundant number, since it is smaller than the sum of its proper divisors (99997434289440).

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

34441001100000 is a wasteful number, since it uses less digits than its factorization.

34441001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23242 (or 23211 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34441001100000 its reverse (110014443), we get a palindrome (34441111114443).

The spelling of 34441001100000 in words is "thirty-four trillion, four hundred forty-one billion, one million, one hundred thousand".