440020646020044 has 36 divisors (see below), whose sum is σ = 1170815169236440. Its totient is φ = 138953888216640.

The previous prime is 440020646020027. The next prime is 440020646020061.

440020646020044 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 2 + 0 + 6 + 4 + 602 + 0 + 0 + 44 = 666.

440020646020044 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (440020646020027) and next prime (440020646020061).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×440020646020044³ (a number of 45 digits) contains 333 as substring.

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 = 440020646019990 and 440020646020008.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321652518337 + ... + 321652519704.

Almost surely, 2^{440020646020044} is an apocalyptic number.

It is an amenable number.

440020646020044 is an abundant number, since it is smaller than the sum of its proper divisors (730794523216396).

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

440020646020044 is a wasteful number, since it uses less digits than its factorization.

440020646020044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643305038070 (or 643305038065 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 440020646020044 in words is "four hundred forty trillion, twenty billion, six hundred forty-six million, twenty thousand, forty-four".