34531044240000 has 1920 divisors, whose sum is σ = 145905809195520. Its totient is φ = 7025863680000.

The previous prime is 34531044239977. The next prime is 34531044240001. The reversal of 34531044240000 is 4244013543.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 34531044240000.

It is not an unprimeable number, because it can be changed into a prime (34531044240001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 206772719917 + ... + 206772720083.

It is an arithmetic number, because the mean of its divisors is an integer number (75992608956).

Almost surely, 2^{34531044240000} is an apocalyptic number.

34531044240000 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 34531044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72952904597760).

34531044240000 is an abundant number, since it is smaller than the sum of its proper divisors (111374764955520).

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

34531044240000 is an equidigital number, since it uses as much as digits as its factorization.

34531044240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34531044240000 its reverse (4244013543), we get a palindrome (34535288253543).

The spelling of 34531044240000 in words is "thirty-four trillion, five hundred thirty-one billion, forty-four million, two hundred forty thousand".