41239860480 has 1728 divisors, whose sum is σ = 191991840768. Its totient is φ = 8241315840.

The previous prime is 41239860443. The next prime is 41239860481. The reversal of 41239860480 is 8406893214.

It is a happy number.

41239860480 is a `hidden beast` number, since 4 + 1 + 2 + 39 + 8 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41239860481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 877443817 + ... + 877443863.

Almost surely, 2^41239860480 is an apocalyptic number.

41239860480 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 41239860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95995920384).

41239860480 is an abundant number, since it is smaller than the sum of its proper divisors (150751980288).

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

41239860480 is a wasteful number, since it uses less digits than its factorization.

41239860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 412398 and 60480, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 41239860480 in words is "forty-one billion, two hundred thirty-nine million, eight hundred sixty thousand, four hundred eighty".