16284529440 has 192 divisors, whose sum is σ = 57501964800. Its totient is φ = 4303982592.

The previous prime is 16284529421. The next prime is 16284529453. The reversal of 16284529440 is 4492548261.

It is a happy number.

16284529440 is a `hidden beast` number, since 1 + 6 + 2 + 84 + 529 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471481 + ... + 504839.

It is an arithmetic number, because the mean of its divisors is an integer number (299489400).

Almost surely, 2^16284529440 is an apocalyptic number.

16284529440 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 16284529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28750982400).

16284529440 is an abundant number, since it is smaller than the sum of its proper divisors (41217435360).

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

16284529440 is a wasteful number, since it uses less digits than its factorization.

16284529440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33496 (or 33482 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 16284529440 in words is "sixteen billion, two hundred eighty-four million, five hundred twenty-nine thousand, four hundred forty".