41373680040 has 768 divisors, whose sum is σ = 178956288000. Its totient is φ = 8314099200.

The previous prime is 41373679999. The next prime is 41373680057. The reversal of 41373680040 is 4008637314.

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 = 41373679977 and 41373680004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28356831 + ... + 28358289.

It is an arithmetic number, because the mean of its divisors is an integer number (233016000).

Almost surely, 2^41373680040 is an apocalyptic number.

41373680040 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 41373680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89478144000).

41373680040 is an abundant number, since it is smaller than the sum of its proper divisors (137582607960).

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

41373680040 is a wasteful number, since it uses less digits than its factorization.

41373680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 41373680040 in words is "forty-one billion, three hundred seventy-three million, six hundred eighty thousand, forty".