3141313228800 has 1560 divisors, whose sum is σ = 12663385602560. Its totient is φ = 766800691200.

The previous prime is 3141313228789. The next prime is 3141313228811. The reversal of 3141313228800 is 88223131413.

3141313228800 is a `hidden beast` number, since 3 + 1 + 41 + 313 + 228 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3141313228789) and next prime (3141313228811).

It is a super-2 number, since 2×3141313228800² (a number of 26 digits) contains 22 as substring.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4885401279 + ... + 4885401921.

Almost surely, 2^{3141313228800} is an apocalyptic number.

3141313228800 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 3141313228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331692801280).

3141313228800 is an abundant number, since it is smaller than the sum of its proper divisors (9522072373760).

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

3141313228800 is a wasteful number, since it uses less digits than its factorization.

3141313228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3141313228800 in words is "three trillion, one hundred forty-one billion, three hundred thirteen million, two hundred twenty-eight thousand, eight hundred".