34312111000440 has 256 divisors, whose sum is σ = 126696702182400. Its totient is φ = 7239145181184.

The previous prime is 34312111000399. The next prime is 34312111000451. The reversal of 34312111000440 is 4400011121343.

It is a super-2 number, since 2×34312111000440² (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 34312111000440.

It is a congruent number.

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, 290773371 + ... + 290891349.

It is an arithmetic number, because the mean of its divisors is an integer number (494908992900).

Almost surely, 2^{34312111000440} is an apocalyptic number.

34312111000440 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 34312111000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63348351091200).

34312111000440 is an abundant number, since it is smaller than the sum of its proper divisors (92384591181960).

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

34312111000440 is a wasteful number, since it uses less digits than its factorization.

34312111000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144646 (or 144642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34312111000440 its reverse (4400011121343), we get a palindrome (38712122121783).

The spelling of 34312111000440 in words is "thirty-four trillion, three hundred twelve billion, one hundred eleven million, four hundred forty", and thus it is an aban number.