41486332800 has 1536 divisors, whose sum is σ = 174845952000. Its totient is φ = 8515584000.

The previous prime is 41486332793. The next prime is 41486332847. The reversal of 41486332800 is 823368414.

It is a happy number.

It is a super-2 number, since 2×41486332800² (a number of 22 digits) contains 22 as substring.

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, 1338268785 + ... + 1338268815.

It is an arithmetic number, because the mean of its divisors is an integer number (113832000).

Almost surely, 2^41486332800 is an apocalyptic number.

41486332800 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 41486332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87422976000).

41486332800 is an abundant number, since it is smaller than the sum of its proper divisors (133359619200).

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

41486332800 is a wasteful number, since it uses less digits than its factorization.

41486332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 41486332800 in words is "forty-one billion, four hundred eighty-six million, three hundred thirty-two thousand, eight hundred".