16432416440100 has 288 divisors, whose sum is σ = 55207542324480. Its totient is φ = 4185105408000.

The previous prime is 16432416440009. The next prime is 16432416440101. The reversal of 16432416440100 is 104461423461.

16432416440100 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 2 + 4 + 1 + 644 + 0 + 1 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16432416440101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40847940 + ... + 41248260.

Almost surely, 2^{16432416440100} is an apocalyptic number.

16432416440100 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 16432416440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27603771162240).

16432416440100 is an abundant number, since it is smaller than the sum of its proper divisors (38775125884380).

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

16432416440100 is a wasteful number, since it uses less digits than its factorization.

16432416440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401028 (or 401015 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 16432416440100 its reverse (104461423461), we get a palindrome (16536877863561).

The spelling of 16432416440100 in words is "sixteen trillion, four hundred thirty-two billion, four hundred sixteen million, four hundred forty thousand, one hundred".