450106100640 has 576 divisors, whose sum is σ = 1851349893120. Its totient is φ = 101134033920.

The previous prime is 450106100629. The next prime is 450106100641. The reversal of 450106100640 is 46001601054.

450106100640 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 0 + 6 + 10 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (450106100641) 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, 16043425 + ... + 16071455.

It is an arithmetic number, because the mean of its divisors is an integer number (3214149120).

Almost surely, 2^450106100640 is an apocalyptic number.

450106100640 is a gapful number since it is divisible by the number (40) 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 450106100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925674946560).

450106100640 is an abundant number, since it is smaller than the sum of its proper divisors (1401243792480).

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

450106100640 is a wasteful number, since it uses less digits than its factorization.

450106100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28127 (or 28107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 450106100640 its reverse (46001601054), we get a palindrome (496107701694).

The spelling of 450106100640 in words is "four hundred fifty billion, one hundred six million, one hundred thousand, six hundred forty".