41234312000 has 224 divisors, whose sum is σ = 117923559936. Its totient is φ = 13989888000.

The previous prime is 41234311999. The next prime is 41234312017. The reversal of 41234312000 is 21343214.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×41234312000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5428205 + ... + 5435795.

It is an arithmetic number, because the mean of its divisors is an integer number (526444464).

Almost surely, 2^41234312000 is an apocalyptic number.

41234312000 is a gapful number since it is divisible by the number (40) 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 41234312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58961779968).

41234312000 is an abundant number, since it is smaller than the sum of its proper divisors (76689247936).

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

41234312000 is an equidigital number, since it uses as much as digits as its factorization.

41234312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41234312000 its reverse (21343214), we get a palindrome (41255655214).

The spelling of 41234312000 in words is "forty-one billion, two hundred thirty-four million, three hundred twelve thousand".