41956077240 has 288 divisors, whose sum is σ = 171292998240. Its totient is φ = 8718082560.

The previous prime is 41956077223. The next prime is 41956077253. The reversal of 41956077240 is 4277065914.

41956077240 is a `hidden beast` number, since 4 + 19 + 5 + 607 + 7 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 236122 + ... + 373718.

It is an arithmetic number, because the mean of its divisors is an integer number (594767355).

Almost surely, 2^41956077240 is an apocalyptic number.

41956077240 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 41956077240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85646499120).

41956077240 is an abundant number, since it is smaller than the sum of its proper divisors (129336921000).

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

41956077240 is a wasteful number, since it uses less digits than its factorization.

41956077240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137643 (or 137625 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 41956077240 in words is "forty-one billion, nine hundred fifty-six million, seventy-seven thousand, two hundred forty".