41513404240000 has 640 divisors, whose sum is σ = 131588062341120. Its totient is φ = 12663851520000.

The previous prime is 41513404239973. The next prime is 41513404240019. The reversal of 41513404240000 is 4240431514.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289448307 + ... + 289591693.

It is an arithmetic number, because the mean of its divisors is an integer number (205606347408).

Almost surely, 2^{41513404240000} is an apocalyptic number.

41513404240000 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 41513404240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65794031170560).

41513404240000 is an abundant number, since it is smaller than the sum of its proper divisors (90074658101120).

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

41513404240000 is a wasteful number, since it uses less digits than its factorization.

41513404240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143486 (or 143459 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 41513404240000 its reverse (4240431514), we get a palindrome (41517644671514).

The spelling of 41513404240000 in words is "forty-one trillion, five hundred thirteen billion, four hundred four million, two hundred forty thousand".