41465460444240 has 320 divisors, whose sum is σ = 154839289651200. Its totient is φ = 8967305428992.

The previous prime is 41465460444179. The next prime is 41465460444409. The reversal of 41465460444240 is 4244406456414.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41465460444240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23701849 + ... + 25391111.

It is an arithmetic number, because the mean of its divisors is an integer number (483872780160).

Almost surely, 2^{41465460444240} is an apocalyptic number.

41465460444240 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 41465460444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77419644825600).

41465460444240 is an abundant number, since it is smaller than the sum of its proper divisors (113373829206960).

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

41465460444240 is a wasteful number, since it uses less digits than its factorization.

41465460444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690074 (or 1690068 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 48.

The spelling of 41465460444240 in words is "forty-one trillion, four hundred sixty-five billion, four hundred sixty million, four hundred forty-four thousand, two hundred forty".