311421024420000 has 960 divisors, whose sum is σ = 1163528863580160. Its totient is φ = 72170841600000.

The previous prime is 311421024419933. The next prime is 311421024420041. The reversal of 311421024420000 is 24420124113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30800214945 + ... + 30800225055.

It is an arithmetic number, because the mean of its divisors is an integer number (1212009232896).

Almost surely, 2^{311421024420000} is an apocalyptic number.

311421024420000 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 311421024420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581764431790080).

311421024420000 is an abundant number, since it is smaller than the sum of its proper divisors (852107839160160).

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

311421024420000 is a wasteful number, since it uses less digits than its factorization.

311421024420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 311421024420000 its reverse (24420124113), we get a palindrome (311445444544113).

The spelling of 311421024420000 in words is "three hundred eleven trillion, four hundred twenty-one billion, twenty-four million, four hundred twenty thousand".