41465640440 has 256 divisors, whose sum is σ = 116121600000. Its totient is φ = 13273860096.

The previous prime is 41465640431. The next prime is 41465640449. The reversal of 41465640440 is 4404656414.

It is an interprime number because it is at equal distance from previous prime (41465640431) and next prime (41465640449).

It is a junction number, because it is equal to n+sod(n) for n = 41465640394 and 41465640403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41465640449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32419721 + ... + 32420999.

It is an arithmetic number, because the mean of its divisors is an integer number (453600000).

Almost surely, 2^41465640440 is an apocalyptic number.

41465640440 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 41465640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800000).

41465640440 is an abundant number, since it is smaller than the sum of its proper divisors (74655959560).

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

41465640440 is a wasteful number, since it uses less digits than its factorization.

41465640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 41465640440 in words is "forty-one billion, four hundred sixty-five million, six hundred forty thousand, four hundred forty".