1020402331344 has 240 divisors, whose sum is σ = 3160740735360. Its totient is φ = 304711925760.

The previous prime is 1020402331339. The next prime is 1020402331349. The reversal of 1020402331344 is 4431332040201.

It is an interprime number because it is at equal distance from previous prime (1020402331339) and next prime (1020402331349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020402331349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162922357 + ... + 162928619.

It is an arithmetic number, because the mean of its divisors is an integer number (13169753064).

Almost surely, 2^{1020402331344} 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 1020402331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580370367680).

1020402331344 is an abundant number, since it is smaller than the sum of its proper divisors (2140338404016).

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

1020402331344 is a wasteful number, since it uses less digits than its factorization.

1020402331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1020402331344 its reverse (4431332040201), we get a palindrome (5451734371545).

The spelling of 1020402331344 in words is "one trillion, twenty billion, four hundred two million, three hundred thirty-one thousand, three hundred forty-four".