41687488080 has 960 divisors, whose sum is σ = 179674214400. Its totient is φ = 8678016000.

The previous prime is 41687488069. The next prime is 41687488091. The reversal of 41687488080 is 8088478614.

41687488080 is a `hidden beast` number, since 4 + 1 + 6 + 87 + 488 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (41687488069) and next prime (41687488091).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 276076005 + ... + 276076155.

It is an arithmetic number, because the mean of its divisors is an integer number (187160640).

Almost surely, 2^41687488080 is an apocalyptic number.

41687488080 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 41687488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89837107200).

41687488080 is an abundant number, since it is smaller than the sum of its proper divisors (137986726320).

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

41687488080 is a wasteful number, since it uses less digits than its factorization.

41687488080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 41687488080 in words is "forty-one billion, six hundred eighty-seven million, four hundred eighty-eight thousand, eighty".