20415645404416 has 144 divisors (see below), whose sum is σ = 43205096112640. Its totient is φ = 9601202626560.

The previous prime is 20415645404389. The next prime is 20415645404431. The reversal of 20415645404416 is 61440454651402.

It is a happy number.

It is a congruent number.

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, 404557426 + ... + 404607886.

Almost surely, 2^{20415645404416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20415645404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21602548056320).

20415645404416 is an abundant number, since it is smaller than the sum of its proper divisors (22789450708224).

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

20415645404416 is a wasteful number, since it uses less digits than its factorization.

20415645404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51092 (or 51078 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 20415645404416 in words is "twenty trillion, four hundred fifteen billion, six hundred forty-five million, four hundred four thousand, four hundred sixteen".