41882724000 has 768 divisors, whose sum is σ = 171450639360. Its totient is φ = 9853747200.

The previous prime is 41882723959. The next prime is 41882724017. The reversal of 41882724000 is 42728814.

41882724000 is a `hidden beast` number, since 4 + 188 + 2 + 72 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32291352 + ... + 32292648.

It is an arithmetic number, because the mean of its divisors is an integer number (223243020).

Almost surely, 2^41882724000 is an apocalyptic number.

41882724000 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 41882724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85725319680).

41882724000 is an abundant number, since it is smaller than the sum of its proper divisors (129567915360).

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

41882724000 is a wasteful number, since it uses less digits than its factorization.

41882724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 41882724000 in words is "forty-one billion, eight hundred eighty-two million, seven hundred twenty-four thousand".