41815622250000 has 735 divisors, whose sum is σ = 152154561049033. Its totient is φ = 11127553200000.

The previous prime is 41815622249987. The next prime is 41815622250079. The reversal of 41815622250000 is 5222651814.

The square root of 41815622250000 is 6466500.

It is a perfect power (a square), and thus also a powerful number.

41815622250000 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 5 + 622 + 25 + 0 + 0 + 0 + 0 = 666.

41815622250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 36634499390736 + 5181122859264 = 6052644^2 + 2276208^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 87297749761 + ... + 87297750239.

Almost surely, 2^{41815622250000} is an apocalyptic number.

41815622250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41815622250000 is the 6466500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41815622250000

41815622250000 is an abundant number, since it is smaller than the sum of its proper divisors (110338938799033).

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

41815622250000 is an frugal number, since it uses more digits than its factorization.

41815622250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

41815622250000 divided by its sum of digits (36) gives a square (1161545062500 = 1077750²).

The spelling of 41815622250000 in words is "forty-one trillion, eight hundred fifteen billion, six hundred twenty-two million, two hundred fifty thousand".