41361788160 has 1296 divisors, whose sum is σ = 187617026688. Its totient is φ = 8539914240.

The previous prime is 41361788113. The next prime is 41361788173. The reversal of 41361788160 is 6188716314.

41361788160 is a `hidden beast` number, since 4 + 13 + 617 + 8 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263450802 + ... + 263450958.

Almost surely, 2^41361788160 is an apocalyptic number.

41361788160 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 41361788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93808513344).

41361788160 is an abundant number, since it is smaller than the sum of its proper divisors (146255238528).

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

41361788160 is a wasteful number, since it uses less digits than its factorization.

41361788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41361788160 in words is "forty-one billion, three hundred sixty-one million, seven hundred eighty-eight thousand, one hundred sixty".