41542411680 has 1440 divisors, whose sum is σ = 196468493760. Its totient is φ = 8151736320.

The previous prime is 41542411679. The next prime is 41542411681. The reversal of 41542411680 is 8611424514.

41542411680 is a `hidden beast` number, since 41 + 5 + 424 + 116 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (41542411679) and next prime (41542411681).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×41542411680³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41542411681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 132723204 + ... + 132723516.

It is an arithmetic number, because the mean of its divisors is an integer number (136436454).

Almost surely, 2^41542411680 is an apocalyptic number.

41542411680 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 41542411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98234246880).

41542411680 is an abundant number, since it is smaller than the sum of its proper divisors (154926082080).

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

41542411680 is a wasteful number, since it uses less digits than its factorization.

41542411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 41542411680 in words is "forty-one billion, five hundred forty-two million, four hundred eleven thousand, six hundred eighty".