1306124220464 has 240 divisors, whose sum is σ = 3047879923200. Its totient is φ = 540300902400.

The previous prime is 1306124220431. The next prime is 1306124220509. The reversal of 1306124220464 is 4640224216031.

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, 1405945952 + ... + 1405946880.

It is an arithmetic number, because the mean of its divisors is an integer number (12699499680).

Almost surely, 2^{1306124220464} is an apocalyptic number.

1306124220464 is a gapful number since it is divisible by the number (14) 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 1306124220464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523939961600).

1306124220464 is an abundant number, since it is smaller than the sum of its proper divisors (1741755702736).

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

1306124220464 is a wasteful number, since it uses less digits than its factorization.

1306124220464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 1306124220464 its reverse (4640224216031), we get a palindrome (5946348436495).

The spelling of 1306124220464 in words is "one trillion, three hundred six billion, one hundred twenty-four million, two hundred twenty thousand, four hundred sixty-four".