41791995360 has 432 divisors, whose sum is σ = 151861115952. Its totient is φ = 10861516800.

The previous prime is 41791995337. The next prime is 41791995379. The reversal of 41791995360 is 6359919714.

41791995360 is a `hidden beast` number, since 4 + 17 + 9 + 1 + 99 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41791995297 and 41791995306.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 43039675 + ... + 43040645.

It is an arithmetic number, because the mean of its divisors is an integer number (351530361).

Almost surely, 2^41791995360 is an apocalyptic number.

41791995360 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 41791995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75930557976).

41791995360 is an abundant number, since it is smaller than the sum of its proper divisors (110069120592).

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

41791995360 is an frugal number, since it uses more digits than its factorization.

41791995360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 41791995360 in words is "forty-one billion, seven hundred ninety-one million, nine hundred ninety-five thousand, three hundred sixty".