16442677351040 has 32 divisors (see below), whose sum is σ = 39308275543860. Its totient is φ = 6577070940160.

The previous prime is 16442677351027. The next prime is 16442677351069. The reversal of 16442677351040 is 4015377624461.

16442677351040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15097949529664 + 1344727821376 = 3885608^2 + 1159624^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×16442677351040³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16442677351040.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12845841041 + ... + 12845842320.

Almost surely, 2^{16442677351040} is an apocalyptic number.

16442677351040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442677351040 is an abundant number, since it is smaller than the sum of its proper divisors (22865598192820).

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

16442677351040 is an equidigital number, since it uses as much as digits as its factorization.

16442677351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25691683380 (or 25691683368 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 16442677351040 in words is "sixteen trillion, four hundred forty-two billion, six hundred seventy-seven million, three hundred fifty-one thousand, forty".