41628432384 has 480 divisors, whose sum is σ = 155070115200. Its totient is φ = 10809262080.

The previous prime is 41628432371. The next prime is 41628432431. The reversal of 41628432384 is 48323482614.

It is a happy number.

41628432384 is a `hidden beast` number, since 4 + 162 + 84 + 32 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12771747 + ... + 12775005.

It is an arithmetic number, because the mean of its divisors is an integer number (323062740).

Almost surely, 2^41628432384 is an apocalyptic number.

41628432384 is a gapful number since it is divisible by the number (44) 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 41628432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77535057600).

41628432384 is an abundant number, since it is smaller than the sum of its proper divisors (113441682816).

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

41628432384 is a wasteful number, since it uses less digits than its factorization.

41628432384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3282 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 41628432384 in words is "forty-one billion, six hundred twenty-eight million, four hundred thirty-two thousand, three hundred eighty-four".