450106030080 has 1152 divisors, whose sum is σ = 1858506249600. Its totient is φ = 98609135616.

The previous prime is 450106030079. The next prime is 450106030103. The reversal of 450106030080 is 80030601054.

450106030080 is a `hidden beast` number, since 4 + 50 + 1 + 0 + 603 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2601768874 + ... + 2601769046.

It is an arithmetic number, because the mean of its divisors is an integer number (1613286675).

Almost surely, 2^450106030080 is an apocalyptic number.

450106030080 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 450106030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929253124800).

450106030080 is an abundant number, since it is smaller than the sum of its proper divisors (1408400219520).

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

450106030080 is a wasteful number, since it uses less digits than its factorization.

450106030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

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

The spelling of 450106030080 in words is "four hundred fifty billion, one hundred six million, thirty thousand, eighty".