41996377290240 has 1280 divisors, whose sum is σ = 160360826250240. Its totient is φ = 10380218204160.

The previous prime is 41996377290229. The next prime is 41996377290299. The reversal of 41996377290240 is 4209277369914.

41996377290240 is a `hidden beast` number, since 4 + 19 + 9 + 6 + 377 + 2 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 47886404682 + ... + 47886405558.

It is an arithmetic number, because the mean of its divisors is an integer number (125281895508).

Almost surely, 2^{41996377290240} is an apocalyptic number.

41996377290240 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 41996377290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80180413125120).

41996377290240 is an abundant number, since it is smaller than the sum of its proper divisors (118364448960000).

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

41996377290240 is a wasteful number, since it uses less digits than its factorization.

41996377290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 41996377290240 in words is "forty-one trillion, nine hundred ninety-six billion, three hundred seventy-seven million, two hundred ninety thousand, two hundred forty".