16453419840 has 1120 divisors, whose sum is σ = 72121142016. Its totient is φ = 3503554560.

The previous prime is 16453419839. The next prime is 16453419841. The reversal of 16453419840 is 4891435461.

16453419840 is a `hidden beast` number, since 1 + 6 + 453 + 4 + 198 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16453419839) and next prime (16453419841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16453419841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85250784 + ... + 85250976.

Almost surely, 2^16453419840 is an apocalyptic number.

16453419840 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 16453419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36060571008).

16453419840 is an abundant number, since it is smaller than the sum of its proper divisors (55667722176).

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

16453419840 is a wasteful number, since it uses less digits than its factorization.

16453419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16453419840 in words is "sixteen billion, four hundred fifty-three million, four hundred nineteen thousand, eight hundred forty".