731148042240 has 1920 divisors, whose sum is σ = 3342926039040. Its totient is φ = 149060321280.

The previous prime is 731148042221. The next prime is 731148042281. The reversal of 731148042240 is 42240841137.

731148042240 is a `hidden beast` number, since 7 + 3 + 114 + 80 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 731148042195 and 731148042204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13795246054 + ... + 13795246106.

It is an arithmetic number, because the mean of its divisors is an integer number (1741107312).

Almost surely, 2^731148042240 is an apocalyptic number.

731148042240 is a gapful number since it is divisible by the number (70) 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 731148042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671463019520).

731148042240 is an abundant number, since it is smaller than the sum of its proper divisors (2611777996800).

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

731148042240 is an frugal number, since it uses more digits than its factorization.

731148042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 731148042240 its reverse (42240841137), we get a palindrome (773388883377).

The spelling of 731148042240 in words is "seven hundred thirty-one billion, one hundred forty-eight million, forty-two thousand, two hundred forty".