1020404333440 has 128 divisors (see below), whose sum is σ = 2583578293920. Its totient is φ = 384051118080.

The previous prime is 1020404333437. The next prime is 1020404333449. The reversal of 1020404333440 is 443334040201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1020404333399 and 1020404333408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020404333449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51028084 + ... + 51048076.

Almost surely, 2^{1020404333440} is an apocalyptic number.

1020404333440 is a gapful number since it is divisible by the number (10) 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 1020404333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291789146960).

1020404333440 is an abundant number, since it is smaller than the sum of its proper divisors (1563173960480).

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

1020404333440 is a wasteful number, since it uses less digits than its factorization.

1020404333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24720 (or 24708 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1020404333440 its reverse (443334040201), we get a palindrome (1463738373641).

The spelling of 1020404333440 in words is "one trillion, twenty billion, four hundred four million, three hundred thirty-three thousand, four hundred forty".