16197085440 has 108 divisors (see below), whose sum is σ = 56040268284. Its totient is φ = 4319219712.

The previous prime is 16197085397. The next prime is 16197085441. The reversal of 16197085440 is 4458079161.

16197085440 is a `hidden beast` number, since 1 + 61 + 9 + 70 + 85 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11726290944 + 4470794496 = 108288^2 + 66864^2 .

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 not an unprimeable number, because it can be changed into a prime (16197085441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691479 + ... + 714518.

It is an arithmetic number, because the mean of its divisors is an integer number (518891373).

Almost surely, 2^16197085440 is an apocalyptic number.

16197085440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16197085440 is an abundant number, since it is smaller than the sum of its proper divisors (39843182844).

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

16197085440 is a wasteful number, since it uses less digits than its factorization.

16197085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406024 (or 1406007 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16197085440 in words is "sixteen billion, one hundred ninety-seven million, eighty-five thousand, four hundred forty".