423072099360 has 288 divisors, whose sum is σ = 1529580976560. Its totient is φ = 106118774784.

The previous prime is 423072099353. The next prime is 423072099361. The reversal of 423072099360 is 63990270324.

It can be written as a sum of positive squares in 8 ways, for example, as 198384723216 + 224687376144 = 445404^2 + 474012^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (423072099361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50644944 + ... + 50653296.

Almost surely, 2^423072099360 is an apocalyptic number.

423072099360 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 423072099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764790488280).

423072099360 is an abundant number, since it is smaller than the sum of its proper divisors (1106508877200).

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

423072099360 is a wasteful number, since it uses less digits than its factorization.

423072099360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 423072099360 in words is "four hundred twenty-three billion, seventy-two million, ninety-nine thousand, three hundred sixty".