41412954240 has 768 divisors, whose sum is σ = 171531360000. Its totient is φ = 9352101888.

The previous prime is 41412954203. The next prime is 41412954257. The reversal of 41412954240 is 4245921414.

41412954240 is a `hidden beast` number, since 4 + 141 + 2 + 95 + 424 + 0 = 666.

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 = 41412954195 and 41412954204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118661586 + ... + 118661934.

It is an arithmetic number, because the mean of its divisors is an integer number (223348125).

Almost surely, 2^41412954240 is an apocalyptic number.

41412954240 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 41412954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765680000).

41412954240 is an abundant number, since it is smaller than the sum of its proper divisors (130118405760).

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

41412954240 is a wasteful number, since it uses less digits than its factorization.

41412954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41412954240 in words is "forty-one billion, four hundred twelve million, nine hundred fifty-four thousand, two hundred forty".