41423581440 has 720 divisors, whose sum is σ = 160265952000. Its totient is φ = 10184638464.

The previous prime is 41423581427. The next prime is 41423581447. The reversal of 41423581440 is 4418532414.

41423581440 is a `hidden beast` number, since 4 + 14 + 23 + 581 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41423581395 and 41423581404.

It is not an unprimeable number, because it can be changed into a prime (41423581447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69154261 + ... + 69154859.

It is an arithmetic number, because the mean of its divisors is an integer number (222591600).

Almost surely, 2^41423581440 is an apocalyptic number.

41423581440 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 41423581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80132976000).

41423581440 is an abundant number, since it is smaller than the sum of its proper divisors (118842370560).

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

41423581440 is a wasteful number, since it uses less digits than its factorization.

41423581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 41423581440 in words is "forty-one billion, four hundred twenty-three million, five hundred eighty-one thousand, four hundred forty".