41932650240 has 720 divisors, whose sum is σ = 164913664608. Its totient is φ = 10109878272.

The previous prime is 41932650223. The next prime is 41932650241. The reversal of 41932650240 is 4205623914.

It is a happy number.

41932650240 is a `hidden beast` number, since 4 + 1 + 93 + 26 + 502 + 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 = 41932650195 and 41932650204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41932650241) 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, 71435227 + ... + 71435813.

Almost surely, 2^41932650240 is an apocalyptic number.

41932650240 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 41932650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82456832304).

41932650240 is an abundant number, since it is smaller than the sum of its proper divisors (122981014368).

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

41932650240 is a wasteful number, since it uses less digits than its factorization.

41932650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 41932650240 in words is "forty-one billion, nine hundred thirty-two million, six hundred fifty thousand, two hundred forty".