1306744241000 has 256 divisors, whose sum is σ = 3513398353920. Its totient is φ = 450262560000.

The previous prime is 1306744240999. The next prime is 1306744241027. The reversal of 1306744241000 is 1424476031.

It is a super-2 number, since 2×1306744241000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27046865 + ... + 27095135.

It is an arithmetic number, because the mean of its divisors is an integer number (13724212320).

Almost surely, 2^{1306744241000} is an apocalyptic number.

1306744241000 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 1306744241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756699176960).

1306744241000 is an abundant number, since it is smaller than the sum of its proper divisors (2206654112920).

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

1306744241000 is a wasteful number, since it uses less digits than its factorization.

1306744241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48433 (or 48419 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 1306744241000 in words is "one trillion, three hundred six billion, seven hundred forty-four million, two hundred forty-one thousand".