41987258880 has 320 divisors, whose sum is σ = 153829082880. Its totient is φ = 9570484224.

The previous prime is 41987258849. The next prime is 41987258899. The reversal of 41987258880 is 8885278914.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×41987258880³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24567466 + ... + 24569174.

It is an arithmetic number, because the mean of its divisors is an integer number (480715884).

Almost surely, 2^41987258880 is an apocalyptic number.

41987258880 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 41987258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76914541440).

41987258880 is an abundant number, since it is smaller than the sum of its proper divisors (111841824000).

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

41987258880 is a wasteful number, since it uses less digits than its factorization.

41987258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 60.

The spelling of 41987258880 in words is "forty-one billion, nine hundred eighty-seven million, two hundred fifty-eight thousand, eight hundred eighty".