41332541473440 has 432 divisors, whose sum is σ = 164112023111400. Its totient is φ = 9445330944000.

The previous prime is 41332541473393. The next prime is 41332541473469. The reversal of 41332541473440 is 4437414523314.

41332541473440 is a `hidden beast` number, since 4 + 1 + 3 + 32 + 541 + 4 + 7 + 34 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40115553011856 + 1216988461584 = 6333684^2 + 1103172^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327970440 + ... + 328096440.

Almost surely, 2^{41332541473440} is an apocalyptic number.

41332541473440 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 41332541473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82056011555700).

41332541473440 is an abundant number, since it is smaller than the sum of its proper divisors (122779481637960).

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

41332541473440 is a wasteful number, since it uses less digits than its factorization.

41332541473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130685 (or 130667 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 41332541473440 its reverse (4437414523314), we get a palindrome (45769955996754).

The spelling of 41332541473440 in words is "forty-one trillion, three hundred thirty-two billion, five hundred forty-one million, four hundred seventy-three thousand, four hundred forty".