20395030441680 has 400 divisors, whose sum is σ = 75574310416704. Its totient is φ = 5079674695680.

The previous prime is 20395030441651. The next prime is 20395030441729. The reversal of 20395030441680 is 8614403059302.

20395030441680 is a `hidden beast` number, since 20 + 3 + 9 + 503 + 0 + 4 + 41 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13724319 + ... + 15137601.

Almost surely, 2^{20395030441680} is an apocalyptic number.

20395030441680 is a gapful number since it is divisible by the number (20) 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 20395030441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787155208352).

20395030441680 is an abundant number, since it is smaller than the sum of its proper divisors (55179279975024).

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

20395030441680 is a wasteful number, since it uses less digits than its factorization.

20395030441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413456 (or 1413441 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20395030441680 in words is "twenty trillion, three hundred ninety-five billion, thirty million, four hundred forty-one thousand, six hundred eighty".