41377235328 has 432 divisors, whose sum is σ = 141671020140. Its totient is φ = 11490785280.

The previous prime is 41377235321. The next prime is 41377235353. The reversal of 41377235328 is 82353277314.

It is a happy number.

41377235328 is a `hidden beast` number, since 41 + 3 + 7 + 72 + 3 + 532 + 8 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41377235321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 297677883 + ... + 297678021.

Almost surely, 2^41377235328 is an apocalyptic number.

41377235328 is a gapful number since it is divisible by the number (48) 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 41377235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70835510070).

41377235328 is an abundant number, since it is smaller than the sum of its proper divisors (100293784812).

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

41377235328 is a wasteful number, since it uses less digits than its factorization.

41377235328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 168 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 41377235328 in words is "forty-one billion, three hundred seventy-seven million, two hundred thirty-five thousand, three hundred twenty-eight".