41235405120 has 1344 divisors, whose sum is σ = 188610240000. Its totient is φ = 8242311168.

The previous prime is 41235405119. The next prime is 41235405137. The reversal of 41235405120 is 2150453214.

41235405120 is a `hidden beast` number, since 4 + 1 + 235 + 405 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2170284471 + ... + 2170284489.

It is an arithmetic number, because the mean of its divisors is an integer number (140335000).

Almost surely, 2^41235405120 is an apocalyptic number.

41235405120 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 41235405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94305120000).

41235405120 is an abundant number, since it is smaller than the sum of its proper divisors (147374834880).

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

41235405120 is a wasteful number, since it uses less digits than its factorization.

41235405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 41235405120 its reverse (2150453214), we get a palindrome (43385858334).

The spelling of 41235405120 in words is "forty-one billion, two hundred thirty-five million, four hundred five thousand, one hundred twenty".