41387941440 has 280 divisors, whose sum is σ = 147508447680. Its totient is φ = 11015488512.

The previous prime is 41387941409. The next prime is 41387941459. The reversal of 41387941440 is 4414978314.

41387941440 is a `hidden beast` number, since 4 + 138 + 79 + 4 + 1 + 440 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 17080069 + ... + 17082491.

Almost surely, 2^41387941440 is an apocalyptic number.

41387941440 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 41387941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73754223840).

41387941440 is an abundant number, since it is smaller than the sum of its proper divisors (106120506240).

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

41387941440 is a wasteful number, since it uses less digits than its factorization.

41387941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 41387941440 in words is "forty-one billion, three hundred eighty-seven million, nine hundred forty-one thousand, four hundred forty".