16409353632 has 288 divisors, whose sum is σ = 53433390528. Its totient is φ = 4381138944.

The previous prime is 16409353607. The next prime is 16409353651. The reversal of 16409353632 is 23635390461.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12554323 + ... + 12555629.

It is an arithmetic number, because the mean of its divisors is an integer number (185532606).

Almost surely, 2^16409353632 is an apocalyptic number.

16409353632 is a gapful number since it is divisible by the number (12) 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 16409353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26716695264).

16409353632 is an abundant number, since it is smaller than the sum of its proper divisors (37024036896).

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

16409353632 is a wasteful number, since it uses less digits than its factorization.

16409353632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 16409353632 in words is "sixteen billion, four hundred nine million, three hundred fifty-three thousand, six hundred thirty-two".