41726361600 has 1440 divisors, whose sum is σ = 195029184000. Its totient is φ = 8670412800.

The previous prime is 41726361583. The next prime is 41726361623. The reversal of 41726361600 is 616362714.

It is a happy number.

41726361600 is a `hidden beast` number, since 4 + 1 + 7 + 2 + 636 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3793305595 + ... + 3793305605.

Almost surely, 2^41726361600 is an apocalyptic number.

41726361600 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 41726361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97514592000).

41726361600 is an abundant number, since it is smaller than the sum of its proper divisors (153302822400).

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

41726361600 is an equidigital number, since it uses as much as digits as its factorization.

41726361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 41726361600 in words is "forty-one billion, seven hundred twenty-six million, three hundred sixty-one thousand, six hundred".