16424197440 has 448 divisors, whose sum is σ = 61644312576. Its totient is φ = 3627122688.

The previous prime is 16424197411. The next prime is 16424197441. The reversal of 16424197440 is 4479142461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16424197392 and 16424197401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16424197441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32652229 + ... + 32652731.

It is an arithmetic number, because the mean of its divisors is an integer number (137598912).

Almost surely, 2^16424197440 is an apocalyptic number.

16424197440 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 16424197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30822156288).

16424197440 is an abundant number, since it is smaller than the sum of its proper divisors (45220115136).

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

16424197440 is a wasteful number, since it uses less digits than its factorization.

16424197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 16424197440 in words is "sixteen billion, four hundred twenty-four million, one hundred ninety-seven thousand, four hundred forty".