41457784320 has 240 divisors, whose sum is σ = 145403818560. Its totient is φ = 10914988032.

The previous prime is 41457784279. The next prime is 41457784351. The reversal of 41457784320 is 2348775414.

41457784320 is a `hidden beast` number, since 4 + 14 + 577 + 8 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808772 + ... + 1831548.

It is an arithmetic number, because the mean of its divisors is an integer number (605849244).

Almost surely, 2^41457784320 is an apocalyptic number.

41457784320 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 41457784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72701909280).

41457784320 is an abundant number, since it is smaller than the sum of its proper divisors (103946034240).

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

41457784320 is a wasteful number, since it uses less digits than its factorization.

41457784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22885 (or 22866 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 41457784320 in words is "forty-one billion, four hundred fifty-seven million, seven hundred eighty-four thousand, three hundred twenty".