321457030340040 has 960 divisors, whose sum is σ = 1315327783714560. Its totient is φ = 70281014791680.

The previous prime is 321457030340029. The next prime is 321457030340053. The reversal of 321457030340040 is 40043030754123.

321457030340040 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 570 + 3 + 0 + 3 + 40 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 321457030339977 and 321457030340004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1252329310 + ... + 1252585970.

It is an arithmetic number, because the mean of its divisors is an integer number (1370133108036).

Almost surely, 2^{321457030340040} is an apocalyptic number.

321457030340040 is a gapful number since it is divisible by the number (30) 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 321457030340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657663891857280).

321457030340040 is an abundant number, since it is smaller than the sum of its proper divisors (993870753374520).

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

321457030340040 is an equidigital number, since it uses as much as digits as its factorization.

321457030340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256742 (or 256701 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 321457030340040 in words is "three hundred twenty-one trillion, four hundred fifty-seven billion, thirty million, three hundred forty thousand, forty".