34300401100440 has 256 divisors, whose sum is σ = 103628416089600. Its totient is φ = 9082419523584.

The previous prime is 34300401100429. The next prime is 34300401100501. The reversal of 34300401100440 is 4400110400343.

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 34300401100440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17210436084 + ... + 17210438076.

It is an arithmetic number, because the mean of its divisors is an integer number (404798500350).

Almost surely, 2^{34300401100440} is an apocalyptic number.

34300401100440 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 34300401100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51814208044800).

34300401100440 is an abundant number, since it is smaller than the sum of its proper divisors (69328014989160).

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

34300401100440 is a wasteful number, since it uses less digits than its factorization.

34300401100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34300401100440 its reverse (4400110400343), we get a palindrome (38700511500783).

The spelling of 34300401100440 in words is "thirty-four trillion, three hundred billion, four hundred one million, one hundred thousand, four hundred forty".