41987484000 has 2016 divisors, whose sum is σ = 205730860608. Its totient is φ = 8211456000.

The previous prime is 41987483999. The next prime is 41987484029. The reversal of 41987484000 is 48478914.

It is a tau number, because it is divible by the number of its divisors (2016).

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 335 ways as a sum of consecutive naturals, for example, 2469851992 + ... + 2469852008.

It is an arithmetic number, because the mean of its divisors is an integer number (102049038).

Almost surely, 2^41987484000 is an apocalyptic number.

41987484000 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 41987484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102865430304).

41987484000 is an abundant number, since it is smaller than the sum of its proper divisors (163743376608).

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

41987484000 is a wasteful number, since it uses less digits than its factorization.

41987484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 41987484000 in words is "forty-one billion, nine hundred eighty-seven million, four hundred eighty-four thousand".