31434400203402 has 384 divisors, whose sum is σ = 79213639405824. Its totient is φ = 8261516132352.

The previous prime is 31434400203389. The next prime is 31434400203403. The reversal of 31434400203402 is 20430200443413.

It is a happy number.

It is a super-2 number, since 2×31434400203402² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31434400203402.

It is not an unprimeable number, because it can be changed into a prime (31434400203403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15772402518 + ... + 15772404510.

It is an arithmetic number, because the mean of its divisors is an integer number (206285519286).

Almost surely, 2^{31434400203402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434400203402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39606819702912).

31434400203402 is an abundant number, since it is smaller than the sum of its proper divisors (47779239202422).

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

31434400203402 is a wasteful number, since it uses less digits than its factorization.

31434400203402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 31434400203402 its reverse (20430200443413), we get a palindrome (51864600646815).

The spelling of 31434400203402 in words is "thirty-one trillion, four hundred thirty-four billion, four hundred million, two hundred three thousand, four hundred two".