1306400854944 has 24 divisors (see below), whose sum is σ = 3429302244480. Its totient is φ = 435466951616.

The previous prime is 1306400854931. The next prime is 1306400854949. The reversal of 1306400854944 is 4494580046031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1306400854893 and 1306400854902.

It is not an unprimeable number, because it can be changed into a prime (1306400854949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6804171024 + ... + 6804171215.

It is an arithmetic number, because the mean of its divisors is an integer number (142887593520).

Almost surely, 2^{1306400854944} is an apocalyptic number.

It is an amenable number.

1306400854944 is an abundant number, since it is smaller than the sum of its proper divisors (2122901389536).

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

1306400854944 is a wasteful number, since it uses less digits than its factorization.

1306400854944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608342252 (or 13608342244 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 1306400854944 in words is "one trillion, three hundred six billion, four hundred million, eight hundred fifty-four thousand, nine hundred forty-four".