16442621246040 has 128 divisors (see below), whose sum is σ = 53897498565120. Its totient is φ = 3979772697600.

The previous prime is 16442621246027. The next prime is 16442621246063. The reversal of 16442621246040 is 4064212624461.

16442621246040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16442621246040³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16442621245983 and 16442621246001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9037549 + ... + 10703388.

It is an arithmetic number, because the mean of its divisors is an integer number (421074207540).

Almost surely, 2^{16442621246040} is an apocalyptic number.

16442621246040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442621246040 is an abundant number, since it is smaller than the sum of its proper divisors (37454877319080).

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

16442621246040 is a wasteful number, since it uses less digits than its factorization.

16442621246040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19741593 (or 19741589 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

It can be divided in two parts, 16442621 and 246040, that added together give a palindrome (16688661).

The spelling of 16442621246040 in words is "sixteen trillion, four hundred forty-two billion, six hundred twenty-one million, two hundred forty-six thousand, forty".