16442173440 has 864 divisors, whose sum is σ = 72534178080. Its totient is φ = 3406233600.

The previous prime is 16442173427. The next prime is 16442173453. The reversal of 16442173440 is 4437124461.

16442173440 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 173 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (16442173427) and next prime (16442173453).

It is a super-3 number, since 3×16442173440³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16442173395 and 16442173404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49674075 + ... + 49674405.

It is an arithmetic number, because the mean of its divisors is an integer number (83951595).

Almost surely, 2^16442173440 is an apocalyptic number.

16442173440 is a gapful number since it is divisible by the number (10) 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 16442173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36267089040).

16442173440 is an abundant number, since it is smaller than the sum of its proper divisors (56092004640).

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

16442173440 is a wasteful number, since it uses less digits than its factorization.

16442173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 16442173440 in words is "sixteen billion, four hundred forty-two million, one hundred seventy-three thousand, four hundred forty".