1306422605400 has 192 divisors, whose sum is σ = 4418869852800. Its totient is φ = 316652160000.

The previous prime is 1306422605377. The next prime is 1306422605417. The reversal of 1306422605400 is 45062246031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46311300 + ... + 46339500.

It is an arithmetic number, because the mean of its divisors is an integer number (23014947150).

Almost surely, 2^{1306422605400} is an apocalyptic number.

1306422605400 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 1306422605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209434926400).

1306422605400 is an abundant number, since it is smaller than the sum of its proper divisors (3112447247400).

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

1306422605400 is a wasteful number, since it uses less digits than its factorization.

1306422605400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35250 (or 35241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 1306422605400 in words is "one trillion, three hundred six billion, four hundred twenty-two million, six hundred five thousand, four hundred".