1309131742464 has 864 divisors, whose sum is σ = 5105380560000. Its totient is φ = 327072743424.

The previous prime is 1309131742423. The next prime is 1309131742481. The reversal of 1309131742464 is 4642471319031.

It is a happy number.

1309131742464 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 13 + 174 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83648112 + ... + 83663760.

Almost surely, 2^{1309131742464} is an apocalyptic number.

1309131742464 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 1309131742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552690280000).

1309131742464 is an abundant number, since it is smaller than the sum of its proper divisors (3796248817536).

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

1309131742464 is a wasteful number, since it uses less digits than its factorization.

1309131742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15720 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1309131742464 in words is "one trillion, three hundred nine billion, one hundred thirty-one million, seven hundred forty-two thousand, four hundred sixty-four".