41481264 has 80 divisors (see below), whose sum is σ = 117742464. Its totient is φ = 12480000.

The previous prime is 41481257. The next prime is 41481269. The reversal of 41481264 is 46218414.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41481269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132372 + ... + 132684.

Almost surely, 2^41481264 is an apocalyptic number.

41481264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41481264 is the 3443-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41481264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58871232).

41481264 is an abundant number, since it is smaller than the sum of its proper divisors (76261200).

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

41481264 is a wasteful number, since it uses less digits than its factorization.

41481264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 41481264 is about 6440.5950035692. The cubic root of 41481264 is about 346.1656684889.

Adding to 41481264 its reverse (46218414), we get a palindrome (87699678).

The spelling of 41481264 in words is "forty-one million, four hundred eighty-one thousand, two hundred sixty-four".