331430001040140 has 192 divisors, whose sum is σ = 946209456783360. Its totient is φ = 86669612640000.

The previous prime is 331430001040139. The next prime is 331430001040141. The reversal of 331430001040140 is 41040100034133.

It is an interprime number because it is at equal distance from previous prime (331430001040139) and next prime (331430001040141).

It is a self number, because there is not a number n which added to its sum of digits gives 331430001040140.

It is not an unprimeable number, because it can be changed into a prime (331430001040141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225959241 + ... + 227421279.

It is an arithmetic number, because the mean of its divisors is an integer number (4928174254080).

Almost surely, 2^{331430001040140} is an apocalyptic number.

331430001040140 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 331430001040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473104728391680).

331430001040140 is an abundant number, since it is smaller than the sum of its proper divisors (614779455743220).

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

331430001040140 is a wasteful number, since it uses less digits than its factorization.

331430001040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462524 (or 1462522 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 331430001040140 its reverse (41040100034133), we get a palindrome (372470101074273).

The spelling of 331430001040140 in words is "three hundred thirty-one trillion, four hundred thirty billion, one million, forty thousand, one hundred forty".