45640959063840 has 432 divisors, whose sum is σ = 181955961984888. Its totient is φ = 10387441999872.

The previous prime is 45640959063793. The next prime is 45640959063863. The reversal of 45640959063840 is 4836095904654.

45640959063840 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 0 + 9 + 590 + 6 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14086540265616 + 31554418798224 = 3753204^2 + 5617332^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15052414 + ... + 17828546.

Almost surely, 2^{45640959063840} is an apocalyptic number.

45640959063840 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 45640959063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90977980992444).

45640959063840 is an abundant number, since it is smaller than the sum of its proper divisors (136315002921048).

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

45640959063840 is a wasteful number, since it uses less digits than its factorization.

45640959063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776401 (or 2776383 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 45640959063840 in words is "forty-five trillion, six hundred forty billion, nine hundred fifty-nine million, sixty-three thousand, eight hundred forty".