41505928396800 has 2880 divisors, whose sum is σ = 173185915392000. Its totient is φ = 8739776102400.

The previous prime is 41505928396799. The next prime is 41505928396817. The reversal of 41505928396800 is 869382950514.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 568574361564 + ... + 568574361636.

It is an arithmetic number, because the mean of its divisors is an integer number (60133998400).

Almost surely, 2^{41505928396800} is an apocalyptic number.

41505928396800 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 41505928396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86592957696000).

41505928396800 is an abundant number, since it is smaller than the sum of its proper divisors (131679986995200).

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

41505928396800 is an equidigital number, since it uses as much as digits as its factorization.

41505928396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 41505928396800 in words is "forty-one trillion, five hundred five billion, nine hundred twenty-eight million, three hundred ninety-six thousand, eight hundred".