3141311134400 has 336 divisors, whose sum is σ = 8164443513600. Its totient is φ = 1187826339840.

The previous prime is 3141311134397. The next prime is 3141311134441. The reversal of 3141311134400 is 44311131413.

It is a self number, because there is not a number n which added to its sum of digits gives 3141311134400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719986619 + ... + 719990981.

Almost surely, 2^{3141311134400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141311134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082221756800).

3141311134400 is an abundant number, since it is smaller than the sum of its proper divisors (5023132379200).

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

3141311134400 is a wasteful number, since it uses less digits than its factorization.

3141311134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 3141311134400 its reverse (44311131413), we get a palindrome (3185622265813).

The spelling of 3141311134400 in words is "three trillion, one hundred forty-one billion, three hundred eleven million, one hundred thirty-four thousand, four hundred".