41453850240 has 384 divisors, whose sum is σ = 157242384000. Its totient is φ = 9979699200.

The previous prime is 41453850239. The next prime is 41453850259. The reversal of 41453850240 is 4205835414.

It is a happy number.

41453850240 is a `hidden beast` number, since 4 + 145 + 3 + 8 + 502 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 41453850195 and 41453850204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9438445 + ... + 9442835.

It is an arithmetic number, because the mean of its divisors is an integer number (409485375).

Almost surely, 2^41453850240 is an apocalyptic number.

41453850240 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 41453850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78621192000).

41453850240 is an abundant number, since it is smaller than the sum of its proper divisors (115788533760).

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

41453850240 is a wasteful number, since it uses less digits than its factorization.

41453850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 41453850240 in words is "forty-one billion, four hundred fifty-three million, eight hundred fifty thousand, two hundred forty".