41628445440 has 144 divisors (see below), whose sum is σ = 136544579808. Its totient is φ = 10800857088.

The previous prime is 41628445399. The next prime is 41628445457. The reversal of 41628445440 is 4454482614.

It is a junction number, because it is equal to n+sod(n) for n = 41628445392 and 41628445401.

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 15 ways as a sum of consecutive naturals, for example, 4417 + ... + 288576.

Almost surely, 2^41628445440 is an apocalyptic number.

41628445440 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 41628445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68272289904).

41628445440 is an abundant number, since it is smaller than the sum of its proper divisors (94916134368).

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

41628445440 is a wasteful number, since it uses less digits than its factorization.

41628445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293054 (or 293040 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 41628445440 in words is "forty-one billion, six hundred twenty-eight million, four hundred forty-five thousand, four hundred forty".