31442001214204 has 384 divisors, whose sum is σ = 67853164216320. Its totient is φ = 12469010400000.

The previous prime is 31442001214201. The next prime is 31442001214223. The reversal of 31442001214204 is 40241210024413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442001214201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131556490317 + ... + 131556490555.

It is an arithmetic number, because the mean of its divisors is an integer number (176700948480).

Almost surely, 2^{31442001214204} 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 31442001214204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926582108160).

31442001214204 is an abundant number, since it is smaller than the sum of its proper divisors (36411163002116).

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

31442001214204 is a wasteful number, since it uses less digits than its factorization.

31442001214204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 31442001214204 its reverse (40241210024413), we get a palindrome (71683211238617).

The spelling of 31442001214204 in words is "thirty-one trillion, four hundred forty-two billion, one million, two hundred fourteen thousand, two hundred four".