41834225400 has 288 divisors, whose sum is σ = 143203334400. Its totient is φ = 10095008000.

The previous prime is 41834225393. The next prime is 41834225423. The reversal of 41834225400 is 452243814.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17350195 + ... + 17352605.

It is an arithmetic number, because the mean of its divisors is an integer number (497233800).

Almost surely, 2^41834225400 is an apocalyptic number.

41834225400 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 41834225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71601667200).

41834225400 is an abundant number, since it is smaller than the sum of its proper divisors (101369109000).

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

41834225400 is a wasteful number, since it uses less digits than its factorization.

41834225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 41834225400 in words is "forty-one billion, eight hundred thirty-four million, two hundred twenty-five thousand, four hundred".