41264350480 has 120 divisors (see below), whose sum is σ = 104523381504. Its totient is φ = 15132268800.

The previous prime is 41264350469. The next prime is 41264350549. The reversal of 41264350480 is 8405346214.

It is a super-3 number, since 3×41264350480³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 872235 + ... + 918325.

Almost surely, 2^41264350480 is an apocalyptic number.

41264350480 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 41264350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52261690752).

41264350480 is an abundant number, since it is smaller than the sum of its proper divisors (63259031024).

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

41264350480 is a wasteful number, since it uses less digits than its factorization.

41264350480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46173 (or 46148 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 41264350480 its reverse (8405346214), we get a palindrome (49669696694).

It can be divided in two parts, 41 and 264350480, that added together give a triangular number (264350521 = T₂₂₉₉₃).

The spelling of 41264350480 in words is "forty-one billion, two hundred sixty-four million, three hundred fifty thousand, four hundred eighty".