1304354101440 has 224 divisors, whose sum is σ = 4460834782656. Its totient is φ = 321003601920.

The previous prime is 1304354101411. The next prime is 1304354101441. The reversal of 1304354101440 is 441014534031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1304354101398 and 1304354101407.

It is not an unprimeable number, because it can be changed into a prime (1304354101441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84619174 + ... + 84634586.

It is an arithmetic number, because the mean of its divisors is an integer number (19914440994).

Almost surely, 2^{1304354101440} is an apocalyptic number.

1304354101440 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 1304354101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230417391328).

1304354101440 is an abundant number, since it is smaller than the sum of its proper divisors (3156480681216).

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

1304354101440 is a wasteful number, since it uses less digits than its factorization.

1304354101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22227 (or 22217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1304354101440 its reverse (441014534031), we get a palindrome (1745368635471).

The spelling of 1304354101440 in words is "one trillion, three hundred four billion, three hundred fifty-four million, one hundred one thousand, four hundred forty".